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Generating
function for k=8 |
Generating function for k=8
x8 +7 x9 +32 x10 +151
x11 +821 x12 +5098 x13 +37191
x14 +320663 x15 +3186083 x16 +
34.799393 x17 + 397.232322 x18 + 4558.655569
x19 + 51332.629522 x20 + 559568.130607
x21 + 5.864822.730344 x22 + 58.923263.464809
x23 + 566.935944.708020 x24 +
5224.648070.473940 x25 + 46148.658296.316889
x26 + 391074.114878.182398 x27 +
3.182902.740624.314571 x28 + 24.907450.810215.189529
x29 + 187.605780.443951.451021 x30 +
1361.527446.377479.832525 x31 +
9530.173916.288053.727828 x32 +
64398.827957.942556.281063 x33 +
420478.634520.539151.090452 x34 +
2.654993.081970.350561.496019 x35 +
16.224852.125059.642382.309688 x36 +
96.033211.742695.486994.656316 x37 +
550.926092.368077.598215.645271 x38 +
3065.404991.268213.044537.958601 x39 +
16553.172910.644594.282608.395961 x40 +
86803.178931.845819.658428.520490 x41 +
442282.723988.930403.154885.858304 x42 +
2.190841.902777.049645.620543.540161 x43 +
10.555873.345211.462579.154775.532553 x44 +
49.495313.507401.035843.621679.091860 x45 +
225.956855.325743.135614.987925.268538 x46 +
1004.786837.334538.708474.199208.881734 x47 +
4354.076212.767040.599134.982232.970294 x48 +
18393.750309.595416.666275.044596.985824 x49 +
75782.250689.106217.346435.242345.904407 x50 +
304614.927719.810032.443371.211554.882902 x51 +
1.195027.789491.623676.051474.164973.874977 x52 +
4.577181.901020.779463.450332.529323.450774 x53 +
17.122050.791184.563255.000676.851943.266390 x54 +
62.573312.834155.927048.390112.927416.230229 x55 +
223.476117.129123.753505.482619.936713.482538 x56 +
780.206092.818806.394036.530016.809481.263642 x57 +
2663.462178.208761.345550.208098.836510.350743 x58 +
8893.255067.980037.677702.030141.380559.096349 x59 +
29051.299885.116501.142854.137632.363518.086400 x60 +
92868.909460.922459.518664.674573.639203.588076 x61 +
290589.813457.554486.829717.923503.190697.950629 x62 +
890219.587223.043632.646424.321905.950453.165576 x63 +
2.670658.761594.598029.023998.765796.602025.802531 x64 +
7.847628.053148.287120.069149.864098.034665.699883 x65 +
22.591656.516330.590881.611861.554581.464508.566275 x66
+ 63.728702.709632.524297.364421.520346.360400.328549
x67 +
176.191119.254840.437930.154081.318619.331385.940523 x68
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x69 +
1268.794929.579852.548375.565186.549647.307616.384746
x70 +
3306.014957.347651.273210.944793.415057.470547.970967
x71 +
8448.704890.984185.619965.796357.271185.043037.571894
x72 +
21179.630069.151482.985801.852269.083417.928204.263534
x73 +
52090.441521.376120.914440.591171.628729.941301.667230
x74 +
125711.598871.498027.388372.439224.950587.778610.372348
x75 +
297737.997327.075063.428713.557498.679418.357681.894661
x76 +
692144.175604.227612.440954.614604.167875.230541.876140
x77 +
1.579508.503301.492138.933777.921439.946487.442759.311656
x78 +
3.538898.798535.474900.489481.785619.888664.984778.540393
x79 +
7.785577.356776.749580.040792.173964.616085.158524.315718
x80 +
16.820691.820194.557336.931882.514961.017629.819106.708849
x81 +
35.692687.520897.208137.127165.604075.381922.208571.941810
x82 +
74.395601.700177.843459.992460.769938.742351.925534.548649
x83 +
152.333851.100355.487341.651752.996891.068006.153504.113154
x84 +
306.459865.154819.299687.244832.872783.310793.528899.101491
x85 +
605.792756.701366.213462.405858.635074.295329.336730.421208
x86 +
1176.769837.730208.556352.869355.624912.273299.138261.278569
x87 +
2246.560599.303078.077217.988422.563006.143794.589433.057284
x88 +
4215.456405.433795.446859.377694.523922.293265.814688.808667
x89 +
7775.175147.800008.924390.163617.015960.734806.627714.018214
x90 +
14097.845048.208658.965061.334815.272072.982936.855116.305386
x91 +
25130.941172.893484.484761.984586.203652.947508.125366.522061
x92 +
44046.703346.038819.051089.513007.438901.500401.448399.156148
x93 +
75910.275979.343080.190962.066689.648984.573426.306401.660676
x94 +
128647.941396.570331.121203.352208.385289.877349.151245.966424
x95 +
214413.235660.949772.534999.733531.234056.186963.443354.482197
x96 +
351460.870825.679508.253286.553972.585561.911487.847399.429615
x97 +
566640.995820.992104.110570.333823.263820.471261.155694.320400
x98 +
898612.488322.177577.202449.592056.489069.189997.719026.843910
x99 +
1.401835.481782.594663.806061.284179.829336.276638.923422.988696
x100 +
2.151331.679963.384836.559329.256984.110391.373315.991407.716354
x101 +
3.248089.007003.538004.997633.245091.348816.318126.065138.835708
x102 +
4.824831.243413.017723.629087.451287.697313.494515.764843.210052
x103 +
7.051676.432680.558512.731051.090869.537207.314227.732910.783847
x104 +
10.140982.298426.319882.702672.430626.898701.081226.065334.774839
x105 +
14.350446.648716.481844.094326.428646.781350.660999.472918.122931
x106 +
19.983332.249147.240269.680665.039934.135130.534267.482462.298035
x107 +
27.384566.415498.058116.396312.434616.374862.562903.047582.067178
x108 +
36.931479.477781.771068.135160.411416.497429.030527.585274.089578
x109 +
49.018145.488692.153216.884870.272876.687334.387930.192655.354844
x110 +
64.032712.575318.560920.025533.559626.334093.360446.896863.226228
x111 +
82.327773.311123.844515.283131.537122.069630.094791.011237.452466
x112 +
104.184704.278678.826142.901567.727790.202050.514951.056448.941743
x113 +
129.773929.890985.883268.661803.072575.228124.933966.053465.110341
x114 +
159.114122.735904.406429.855681.066624.366118.409447.152767.797112
x115 +
192.034286.060574.258218.307366.350543.784775.442968.182972.105320
x116 +
228.143297.114699.306378.692386.581854.609621.281023.516206.465808
x117 +
266.811652.557868.654155.700053.116498.306458.159038.967675.363466
x118 +
307.169717.650655.483602.492530.953178.571311.438056.734730.387702
x119 +
348.125680.004076.189895.997323.642846.191329.718432.144661.696116
x120 +
388.404684.302068.453009.575828.522559.446278.043490.814313.181612
x121 +
426.608423.741616.148484.606966.158268.842315.102840.805373.078134
x122 +
461.292035.427926.385890.174917.194936.292073.881982.649889.276448
x123 +
491.052811.907147.427602.266776.644192.685496.063166.869406.553395
x124 +
514.623346.878690.492211.909587.801046.384586.319082.574709.847844
x125 +
530.960595.985950.499749.463453.275507.948615.024537.845526.096937
x126 +
539.322180.174705.621654.374712.281921.078797.018879.188838.953134
x127 +
539.322180.174705.621654.374712.281921.078797.018879.188838.953135
x128 +
530.960595.985950.499749.463453.275507.948615.024537.845526.096938
x129 +
514.623346.878690.492211.909587.801046.384586.319082.574709.847845
x130 +
491.052811.907147.427602.266776.644192.685496.063166.869406.553397
x131 +
461.292035.427926.385890.174917.194936.292073.881982.649889.276451
x132 +
426.608423.741616.148484.606966.158268.842315.102840.805373.078139
x133 +
388.404684.302068.453009.575828.522559.446278.043490.814313.181622
x134 +
348.125680.004076.189895.997323.642846.191329.718432.144661.696136
x135 +
307.169717.650655.483602.492530.953178.571311.438056.734730.387743
x136 +
266.811652.557868.654155.700053.116498.306458.159038.967675.363560
x137 +
228.143297.114699.306378.692386.581854.609621.281023.516206.466043
x138 +
192.034286.060574.258218.307366.350543.784775.442968.182972.105972
x139 +
159.114122.735904.406429.855681.066624.366118.409447.152767.799188
x140 +
129.773929.890985.883268.661803.072575.228124.933966.053465.117880
x141 +
104.184704.278678.826142.901567.727790.202050.514951.056448.973243
x142 +
82.327773.311123.844515.283131.537122.069630.094791.011237.601739
x143 +
64.032712.575318.560920.025533.559626.334093.360446.896864.000877
x144 +
49.018145.488692.153216.884870.272876.687334.387930.192659.570637
x145 +
36.931479.477781.771068.135160.411416.497429.030527.585297.237102
x146 +
27.384566.415498.058116.396312.434616.374862.562903.047706.865819
x147 +
19.983332.249147.240269.680665.039934.135130.534267.483112.359801
x148 +
14.350446.648716.481844.094326.428646.781350.660999.476161.231157
x149 +
10.140982.298426.319882.702672.430626.898701.081226.080766.690779
x150 +
7.051676.432680.558512.731051.090869.537207.314227.802834.314500
x151 +
4.824831.243413.017723.629087.451287.697313.494516.066463.734622
x152 +
3.248089.007003.538004.997633.245091.348816.318127.304312.385419
x153 +
2.151331.679963.384836.559329.256984.110391.373320.844193.890693
x154 +
1.401835.481782.594663.806061.284179.829336.276657.056080.869494
x155 +
898612.488322.177577.202449.592056.489069.190062.431821.281178
x156 +
566640.995820.992104.110570.333823.263820.471481.968068.971263
x157 +
351460.870825.679508.253286.553972.585561.912208.944652.534346
x158 +
214413.235660.949772.534999.733531.234056.189219.314404.431124
x159 +
128647.941396.570331.121203.352208.385289.884115.822492.139538
x160 +
75910.275979.343080.190962.066689.648984.592904.267837.374437
x161 +
44046.703346.038819.051089.513007.438901.554248.755342.659388
x162 +
25130.941172.893484.484761.984586.203653.090581.575752.738782
x163 +
14097.845048.208658.965061.334815.272073.348557.231685.810109
x164 +
7775.175147.800008.924390.163617.015961.634014.494625.372839
x165 +
4215.456405.433795.446859.377694.523924.422933.500459.903382
x166 +
2246.560599.303078.077217.988422.563011.003747.139602.720489
x167 +
1176.769837.730208.556352.869355.624922.965100.548666.618467
x168 +
605.792756.701366.213462.405858.635096.982662.201947.500328
x169 +
306.459865.154819.299687.244832.872829.765581.391360.607587
x170 +
152.333851.100355.487341.651752.996982.896898.994421.135373
x171 +
74.395601.700177.843459.992460.770114.051563.279283.173289
x172 +
35.692687.520897.208137.127165.604398.729323.941305.994238
x173 +
16.820691.820194.557336.931882.515537.418553.719629.579475
x174 +
7.785577.356776.749580.040792.174957.986589.175329.288558
x175 +
3.538898.798535.474900.489481.787275.504464.555830.357769
x176 +
1.579508.503301.492138.933777.924109.202430.995677.339973
x177 +
692144.175604.227612.440954.618768.204430.234301.358806
x178 +
297737.997327.075063.428713.563785.554845.816439.396943
x179 +
125711.598871.498027.388372.448413.456945.430489.057976
x180 +
52090.441521.376120.914440.604174.227616.652900.531780
x181 +
21179.630069.151482.985801.870087.454719.105665.408743
x182 +
8448.704890.984185.619965.820007.104117.736865.853717
x183 +
3306.014957.347651.273210.975200.337544.008896.626735
x184 +
1268.794929.579852.548375.603061.833459.707438.629513
x185 +
477.503468.123114.380667.236876.850333.511848.727117
x186 +
176.191119.254840.437930.207540.577007.302070.806794
x187 +
63.728702.709632.524297.425008.675564.222362.255987 x188
+ 22.591656.516330.590881.678408.098713.272830.730806
x189 +
7.847628.053148.287120.139989.731306.863758.760980 x190
+ 2.670658.761594.598029.097087.516485.345071.862075
x191 + 890219.587223.043632.719513.072594.693499.225120
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x195 + 8893.255067.980037.731161.288529.351243.962620
x196 + 2663.462178.208761.391261.752124.399875.644627
x197 + 780.206092.818806.431911.813829.209303.508409
x198 + 223.476117.129123.783912.405106.475062.138306
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x204 + 75782.250689.110381.382990.246105.387073
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x206 + 4354.076212.768696.214934.553284.787670
x207 + 1004.786837.335532.078978.216013.854574
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x209 + 49.495313.507724.383245.354413.144288
x210 + 10.555873.345386.771790.508524.157193
x211 + 2.190841.902868.878538.461460.562380
x212 + 442282.724035.385191.017347.364400
x213 + 86803.178954.533152.523645.599610 x214
+ 16553.172921.336395.693013.735859 x215 +
3065.404996.128165.594707.621806 x216 +
550.926094.497745.283986.739986 x217 +
96.033212.641903.353906.010941 x218 +
16.224852.490680.018951.814411 x219 +
2.654993.225043.800947.712740 x220 +
420478.688367.846094.593692 x221 +
64398.847435.903991.994824 x222 +
9530.180682.959299.900942 x223 +
1361.529702.248529.781452 x224 +
187.606501.541204.555752 x225 + 24.907671.622589.840392
x226 + 3.182967.453418.751839 x227 +
391092.247536.063196 x228 + 46153.511082.491228
x229 + 5225.887244.023651 x230 +
567.237565.232590 x231 + 58.993186.995462
x232 + 5.880254.646284 x233 + 562811.238833
x234 + 51982.691288 x235 + 4683.454210
x236 + 420.379846 x237 + 39.015186
x238 + 3.960732 x239 +469936 x240
+68691 x241 +12637 x242 +2897 x243
+803 x244 +267 x245 +101 x246 +42
x247 +20 x248 +10 x249 +5
x250 +3 x251 +2 x252
+x253 +x254 +x255
harald.fripertinger "at" uni-graz.at, May 10,
2016
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Generating
function for k=8 |
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