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Generating
function for k=5 |
Generating function for k=5
x5 +4 x6 +19 x7 +122
x8 +1320 x9 +25619 x10 +645751
x11 + 16.822798 x12 + 418.686704
x13 + 9757.619492 x14 + 212356.023661
x15 + 4.324364.325987 x16 + 82.656563.598884
x17 + 1487.726907.561588 x18 +
25290.829421.058624 x19 + 407179.417034.225521
x20 + 6.224012.495357.831799 x21 +
90.531009.420114.869599 x22 + 1255.625331.841492.081538
x23 + 16637.033670.999776.876665 x24 +
210957.577654.155997.605415 x25 +
2.563945.901336.765949.014976 x26 +
29.912701.993662.179505.227487 x27 +
335.449585.827896.522445.543558 x28 +
3620.542078.088342.018352.420836 x29 +
37653.637598.021699.336703.598801 x30 +
377751.009394.643119.181510.683700 x31 +
3.659462.903289.645973.457695.049916 x32 +
34.265879.911776.440438.065192.711817 x33 +
310.408559.197639.793591.728963.968039 x34 +
2722.726504.950598.625624.363615.489582 x35 +
23143.175292.038689.091706.913581.306972 x36 +
190774.823353.146591.591159.348577.641977 x37 +
1.526198.586824.672792.848740.894619.126182 x38 +
11.857389.020713.078480.023402.225041.354855 x39 +
89.523287.106378.156051.493367.876707.075510 x40 +
657.231937.049245.862679.417641.828083.731174 x41 +
4694.513836.065983.888987.827996.644621.152978 x42 +
32643.247371.714450.230199.908660.017936.137106 x43 +
221083.811744.792760.945116.370355.140344.109063 x44 +
1.459153.157515.630520.677258.883604.383090.939585 x45 +
9.389333.361404.921752.343349.380018.365268.629684 x46 +
58.933049.821584.068435.877399.529907.719191.773823 x47
+ 360.964930.157202.376099.181934.272450.268486.252956
x48 +
2158.422949.715516.126349.528065.420358.832876.590059
x49 +
12605.190026.338613.834303.464000.571455.071518.514260
x50 +
71923.731326.755619.164462.424370.636003.522770.323521
x51 +
401113.117014.598642.757340.936966.756506.781772.232190
x52 +
2.187201.713532.434101.689241.510749.648671.749176.266509
x53 +
11.665075.805506.315190.669977.937135.744621.117056.189649
x54 +
60.870486.476005.681037.998463.772843.544972.871812.802268
x55 +
310.874270.216743.299463.695841.183679.887722.803635.150927
x56 +
1554.371351.083716.497005.422093.338173.307974.073229.792745
x57 +
7611.059719.099577.329379.511208.050848.196891.379073.577627
x58 +
36507.286449.240345.493216.338093.804917.031601.898982.621404
x59 +
171584.246311.429623.813368.049972.738889.195646.740988.810226
x60 +
790412.675631.339742.473069.941653.426034.458963.786221.519236
x61 +
3.569605.631883.469804.689765.538461.761590.955302.330359.325475
x62 +
15.808253.512626.794849.276035.446888.966484.352984.187641.433142
x63 +
68.667101.195472.640126.393016.412032.050661.501496.937661.946509
x64 +
292.627492.786860.327922.899663.153333.392501.869607.424814.883707
x65 +
1223.714969.835961.371313.161133.066644.907255.685560.322260.495101
x66 +
5022.710697.087901.150910.469243.934069.110120.034548.654079.957714
x67 +
20238.569573.560072.284547.099786.530739.657827.886741.678320.464099
x68 +
80074.340486.694199.038851.677374.908486.260344.940239.976972.621338
x69 +
311146.008748.297459.122376.432109.598828.198431.354086.806546.960930
x70 +
1.187613.639025.191710.171284.032938.812170.206932.397074.539707.990296
x71 +
4.453551.146344.468913.142229.883697.364957.654168.848931.001791.576067
x72 +
16.411030.936529.618323.770503.435687.224155.913041.514915.454445.338025
x73 +
59.434544.472836.996091.492801.475084.197746.045780.184744.843610.334607
x74 +
211.586978.323299.706085.713604.774292.364742.926100.030733.890512.629201
x75 +
740.554424.131548.971299.996050.286670.686473.164466.165277.020282.334882
x76 +
2548.661329.803382.823305.178051.624117.247893.162008.828337.203344.100172
x77 +
8626.238347.026834.171186.750170.287228.008150.133887.385429.690329.489630
x78 +
28717.730193.266549.202811.573528.773900.216555.490707.968729.105604.390882
x79 +
94050.566382.947948.639207.878871.145589.247488.626635.404054.741276.454818
x80 +
303051.825011.721167.837447.562324.052248.796957.542652.844828.064069.449909
x81 +
960896.030524.969556.557760.472519.450919.229716.546169.613900.290552.755917
x82 +
2.998458.697662.254399.379035.518427.370786.633336.369687.681761.561811.172822
x83 +
9.209551.714248.352798.092751.623774.622254.743927.221576.824876.547314.918996
x84 +
27.845350.477197.960813.056907.243128.236823.581456.807754.836691.142204.576762
x85 +
82.888485.141426.488001.657769.275270.533795.500661.850204.283490.066232.007652
x86 +
242.949008.173146.602763.479666.509472.521711.277965.558352.025166.155519.661806
x87 +
701.239182.681582.239794.589033.695218.518838.247266.416578.702419.550827.197051
x88 +
1993.410260.881351.760314.955336.271500.552286.547623.322264.744509.299175.879359
x89 +
5581.548730.467784.928881.874929.616695.508703.712221.384377.082061.909648.597563
x90 +
15395.260784.037516.671970.885773.792437.104328.660685.177455.752439.448675.562497
x91 +
41834.947782.710643.130355.667826.676953.930025.591970.038024.544146.987154.139817
x92 +
112009.698902.096238.058694.207342.938077.970841.252455.612364.536693.196563.879543
x93 +
295514.950294.892202.537831.525645.876502.247173.069740.136817.069804.844985.927836
x94 +
768338.870766.719726.598361.966491.916877.289431.962836.159637.750623.876240.764440
x95 +
1.968868.356339.719299.408302.538819.054693.284339.066036.514784.245204.425975.005000
x96 +
4.972914.920651.868333.557052.803703.709351.359223.351704.033469.760736.048860.847010
x97 +
12.381543.271827.100748.856335.551198.690301.432337.800065.840079.334303.793799.080271
x98 +
30.391060.758121.065474.465550.896948.247428.412443.748687.630790.765642.171050.833724
x99 +
73.546367.034652.978448.206633.168250.322923.142402.773559.404924.066766.701226.728854
x100 +
175.491826.290607.602039.780184.090710.844423.064577.478058.816794.498633.411062.969278
x101 +
412.921944.213194.357740.659256.677882.770099.231120.020411.334576.042469.581549.787872
x102 +
958.139268.611198.558252.597692.669969.585395.149269.118898.264711.852724.908730.378893
x103 +
2192.664864.706396.700616.521642.825456.390144.424889.109796.443569.590998.853998.134503
x104 +
4949.157837.480152.552820.148850.924720.298641.037474.567229.142173.902965.027238.816015
x105 +
11018.879713.635056.627033.538951.077886.486746.827672.394647.518881.443267.191705.688483
x106 +
24200.343296.301292.592083.006107.449703.869988.755724.286640.172647.210571.577329.459823
x107 +
52434.077141.986133.949513.179899.386045.287844.964935.730503.041264.824051.438851.270376
x108 +
112083.852973.236414.772812.577215.984954.925435.006903.247940.090799.335497.510877.152772
x109 +
236395.035361.734983.884477.435582.603423.751261.466119.221712.548365.848894.010889.978066
x110 +
491957.235752.799831.327155.744320.252996.336070.812628.293498.138493.979679.556535.187133
x111 +
1.010269.323420.928225.046837.689228.647011.528200.324447.144987.957713.850333.387820.922009
x112 +
2.047359.956313.208526.864830.361356.517960.770622.934790.670440.506603.445777.699434.838245
x113 +
4.094719.912626.417053.729660.722712.086982.762933.189583.185989.506207.084342.127209.673570
x114 +
8.082621.044923.449314.753330.296134.661567.105269.370631.895130.489471.390193.340897.524109
x115 +
15.747175.484074.996078.743557.301087.978826.076788.112118.771913.981721.518779.714105.217083
x116 +
30.283029.777067.300151.429917.886704.856479.580275.353246.490904.741263.972584.782024.072087
x117 +
57.486429.407314.196897.629674.632384.935684.261076.016022.810541.181806.428297.956856.067807
x118 +
107.726670.233874.503430.011911.285892.297583.501351.044707.392520.823732.564598.888348.271759
x119 +
199.294339.932667.831345.522035.878893.076885.775000.214508.979447.925300.531977.553583.668396
x120 +
364.000405.992723.890308.763387.844909.833932.303377.162457.639828.056978.329768.103045.151350
x121 +
656.394174.740977.507114.163486.277691.785400.450887.827131.790474.617348.653675.914341.399917
x122 +
1168.701823.319301.415105.705719.470016.947334.493379.015930.927002.038364.860596.302571.078619
x123 +
2054.653205.512965.391072.934248.745648.491391.468198.156081.921595.005458.677458.550418.026434
x124 +
3566.877964.770507.918902.613855.822410.405741.760424.304800.550971.842627.258548.459043.553158
x125 +
6114.647939.606585.003833.052324.266942.342849.851356.394566.689429.958539.375514.735911.002717
x126 +
10351.569346.578076.974992.962596.199879.995042.129691.919083.000707.058176.499234.951059.752567
x127 +
17306.530001.310222.442566.359340.521593.685644.453418.241949.097812.679705.218854.314575.670098
x128 +
28575.898374.256413.800516.546818.070433.830031.823433.650686.875575.842205.670149.871021.385886
x129 +
46600.695810.325844.043919.291734.083957.568683.257934.300595.333656.700839.179008.183506.805584
x130 +
75059.135999.837809.872266.950808.333530.935853.669463.006874.562926.180780.967346.993111.096207
x131 +
119412.261817.923788.433151.967195.075854.439800.767688.747028.729402.430216.822228.979693.211868
x132 +
187647.839999.594524.680667.377020.833212.157492.066351.076434.901674.379824.305675.731011.820356
x133 +
291274.259103.848217.414767.271793.531809.218388.780847.455681.732683.284553.528147.491263.955691
x134 +
446620.530625.900600.035976.483416.748352.092092.329077.153421.257778.223561.539553.613237.353090
x135 +
676498.744918.643555.936846.732234.191838.528148.070645.067828.530288.308665.556264.271220.835111
x136 +
1.012279.143856.364445.014989.635824.884966.176866.875432.934333.424432.312555.141293.960803.604325
x137 +
1.496412.647439.843092.630854.244262.872664.556016.626570.593169.965565.760193.600585.702759.360010
x138 +
2.185408.398779.051423.050815.910686.064917.650381.053393.767871.915888.550171.274916.468951.023190
x139 +
3.153232.118238.345624.687605.813989.892576.387982.491405.075002.896583.911542.376275.948113.637478
x140 +
4.495033.019616.365039.448289.139091.973236.059006.481729.937338.222795.913783.513256.679249.296106
x141 +
6.331032.421994.880337.251111.463509.819950.713964.909092.333212.209841.524706.100251.496358.527705
x142 +
8.810317.845992.875434.356441.826842.335101.473657.015616.003767.788244.445533.445666.006363.490810
x143 +
12.114187.038240.203722.240107.511908.208743.860378.766626.405989.837756.460001.215365.212551.150886
x144 +
16.458585.148505.656091.595180.550661.495086.668972.988066.983276.662594.083539.149070.842338.488520
x145 +
22.095086.911692.524616.114077.999518.168866.889442.257802.125437.311368.807380.347333.789460.920536
x146 +
29.309809.168571.716327.498266.734054.710857.997459.032737.783957.842740.133959.860561.507020.743549
x147 +
38.419614.720965.628159.017998.286531.171760.478956.910507.747314.090319.433240.772402.434104.722480
x148 +
49.765004.302995.746541.546803.149667.889994.190764.206855.700474.779412.460558.216972.438820.067218
x149 +
63.699205.507834.555573.179908.031574.895217.716377.038703.609425.535225.180063.136936.788866.701510
x150 +
80.573167.231764.239168.724254.530005.326721.753169.141392.985817.492716.158710.162865.789863.570116
x151 +
100.716459.039705.298960.905318.162506.653760.536605.242298.145871.217803.418598.309166.941849.144332
x152 +
124.414449.401988.898716.412451.847802.332052.752589.427910.341401.141058.975301.538627.314036.977916
x153 +
151.882574.594635.798433.022993.164849.594950.379396.500326.879647.410695.578452.132802.133810.226954
x154 +
183.238977.091592.866496.614836.915012.086522.858767.705824.438895.039273.007612.020395.427755.078918
x155 +
218.477241.916899.186976.733074.783283.635992.072607.358678.546303.923856.866329.692412.425962.640300
x156 +
257.441336.016728.341342.010311.050366.062134.058583.318995.940915.508449.880257.424410.029440.672602
x157 +
299.805100.171379.840550.189222.995363.003255.760480.721210.456499.250207.889413.369110.718504.780796
x158 +
345.058700.197248.495727.576275.522964.960215.542816.916157.292819.671170.739918.911895.556896.319702
x159 +
392.504271.474370.163890.118013.407372.636543.593397.871430.367742.283996.048542.726889.940720.995472
x160 +
441.262566.067459.625242.927704.513878.548601.068780.156496.361449.250940.632963.221128.641338.270136
x161 +
490.291740.074955.139158.808560.570976.159846.046643.433385.787781.843825.510479.160118.421353.252382
x162 +
538.418536.646729.876744.949278.173035.164477.250655.959729.612750.446162.228104.027729.671363.600508
x163 +
584.381094.653158.036954.883972.651221.088649.708270.958231.370065.021388.413813.344457.170489.924804
x164 +
626.881537.900660.439642.511897.934946.254727.314142.399385.732089.031251.849040.982413.448718.782630
x165 +
664.645485.966965.285404.109000.220183.977473.351841.324790.491163.433286.223032.738783.429920.201982
x166 +
696.484790.683945.658357.599251.727737.698124.248487.684040.557720.628725.759054.525186.403932.833368
x167 +
721.359247.494086.574727.513510.718014.042333.046362.271109.128092.626990.974288.363678.593785.838388
x168 +
738.432839.150751.345726.981286.119623.840700.876317.253886.623861.284564.518020.232378.467872.314988
x169 +
747.120284.317230.773323.769301.250442.943980.781144.351600.874081.235490.458456.833766.991804.663194
x170 +
747.120284.317230.773323.769301.250442.943980.781144.351600.874081.235490.458456.833766.991804.663194
x171 +
738.432839.150751.345726.981286.119623.840700.876317.253886.623861.284564.518020.232378.467872.314988
x172 +
721.359247.494086.574727.513510.718014.042333.046362.271109.128092.626990.974288.363678.593785.838388
x173 +
696.484790.683945.658357.599251.727737.698124.248487.684040.557720.628725.759054.525186.403932.833368
x174 +
664.645485.966965.285404.109000.220183.977473.351841.324790.491163.433286.223032.738783.429920.201982
x175 +
626.881537.900660.439642.511897.934946.254727.314142.399385.732089.031251.849040.982413.448718.782630
x176 +
584.381094.653158.036954.883972.651221.088649.708270.958231.370065.021388.413813.344457.170489.924804
x177 +
538.418536.646729.876744.949278.173035.164477.250655.959729.612750.446162.228104.027729.671363.600508
x178 +
490.291740.074955.139158.808560.570976.159846.046643.433385.787781.843825.510479.160118.421353.252382
x179 +
441.262566.067459.625242.927704.513878.548601.068780.156496.361449.250940.632963.221128.641338.270136
x180 +
392.504271.474370.163890.118013.407372.636543.593397.871430.367742.283996.048542.726889.940720.995472
x181 +
345.058700.197248.495727.576275.522964.960215.542816.916157.292819.671170.739918.911895.556896.319702
x182 +
299.805100.171379.840550.189222.995363.003255.760480.721210.456499.250207.889413.369110.718504.780796
x183 +
257.441336.016728.341342.010311.050366.062134.058583.318995.940915.508449.880257.424410.029440.672602
x184 +
218.477241.916899.186976.733074.783283.635992.072607.358678.546303.923856.866329.692412.425962.640300
x185 +
183.238977.091592.866496.614836.915012.086522.858767.705824.438895.039273.007612.020395.427755.078918
x186 +
151.882574.594635.798433.022993.164849.594950.379396.500326.879647.410695.578452.132802.133810.226954
x187 +
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+x339 +x340 +x341
harald.fripertinger "at" uni-graz.at, May 10,
2016
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Generating
function for k=5 |
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