Generating function for k=7

Generating function for k=7

x⁷ +6 x⁸ +22 x⁹ +80 x¹⁰ +312 x¹¹ +1285 x¹² +5632 x¹³ +26792 x¹⁴ +137493 x¹⁵ +745413 x¹⁶ + 4.145064 x¹⁷ + 22.982706 x¹⁸ + 124.432461 x¹⁹ + 649.291467 x²⁰ + 3241.579988 x²¹ + 15429.063365 x²² + 69918.527825 x²³ + 301612.284980 x²⁴ + 1.239160.807390 x²⁵ + 4.852767.670213 x²⁶ + 18.132632.642469 x²⁷ + 64.712762.097651 x²⁸ + 220.812335.711695 x²⁹ + 721.097209.038791 x³⁰ + 2255.871003.073197 x³¹ + 6766.671199.297384 x³² + 19477.961391.647821 x³³ + 53847.306904.564072 x³⁴ + 143073.450353.877104 x³⁵ + 365620.376544.266394 x³⁶ + 899207.866892.850499 x³⁷ + 2.129667.685758.352394 x³⁸ + 4.859952.550161.423615 x³⁹ + 10.691801.410400.337070 x⁴⁰ + 22.687332.865214.226545 x⁴¹ + 46.454787.862459.977858 x⁴² + 91.828892.840916.251920 x⁴³ + 175.309211.353748.258460 x⁴⁴ + 323.347401.732733.887610 x⁴⁵ + 576.400923.900522.799897 x⁴⁶ + 993.370504.016804.943604 x⁴⁷ + 1655.615799.571051.805596 x⁴⁸ + 2669.255943.552918.023609 x⁴⁹ + 4164.036555.003759.480759 x⁵⁰ + 6286.875427.458757.501491 x⁵¹ + 9188.506357.651878.685288 x⁵² + 13002.598886.711598.864395 x⁵³ + 17818.371301.177461.145137 x⁵⁴ + 23649.832932.693828.281788 x⁵⁵ + 30406.922486.538348.655749 x⁵⁶ + 37875.283812.399822.244757 x⁵⁷ + 45711.544025.563365.293879 x⁵⁸ + 53459.258387.970684.866268 x⁵⁹ + 60587.155217.861961.927436 x⁶⁰ + 66546.544131.808322.164530 x⁶¹ + 70839.867208.829093.061096 x⁶² + 73088.750688.743046.059543 x⁶³ + 73088.750688.743046.059544 x⁶⁴ + 70839.867208.829093.061097 x⁶⁵ + 66546.544131.808322.164531 x⁶⁶ + 60587.155217.861961.927438 x⁶⁷ + 53459.258387.970684.866271 x⁶⁸ + 45711.544025.563365.293884 x⁶⁹ + 37875.283812.399822.244767 x⁷⁰ + 30406.922486.538348.655768 x⁷¹ + 23649.832932.693828.281823 x⁷² + 17818.371301.177461.145209 x⁷³ + 13002.598886.711598.864550 x⁷⁴ + 9188.506357.651878.685628 x⁷⁵ + 6286.875427.458757.502282 x⁷⁶ + 4164.036555.003759.482666 x⁷⁷ + 2669.255943.552918.028317 x⁷⁸ + 1655.615799.571051.817376 x⁷⁹ + 993.370504.016804.972840 x⁸⁰ + 576.400923.900522.870626 x⁸¹ + 323.347401.732734.052428 x⁸² + 175.309211.353748.624640 x⁸³ + 91.828892.840917.022219 x⁸⁴ + 46.454787.862461.506096 x⁸⁵ + 22.687332.865217.079120 x⁸⁶ + 10.691801.410405.339898 x⁸⁷ + 4.859952.550169.663205 x⁸⁸ + 2.129667.685771.094715 x⁸⁹ + 899207.866911.354625 x⁹⁰ + 365620.376569.504723 x⁹¹ + 143073.450386.216721 x⁹² + 53847.306943.503240 x⁹³ + 19477.961435.713761 x⁹⁴ + 6766.671246.173114 x⁹⁵ + 2255.871049.948927 x⁹⁶ + 721.097253.104731 x⁹⁷ + 220.812374.650863 x⁹⁸ + 64.712794.437268 x⁹⁹ + 18.132657.880798 x¹⁰⁰ + 4.852786.174339 x¹⁰¹ + 1.239173.549711 x¹⁰² + 301620.524570 x¹⁰³ + 69923.530653 x¹⁰⁴ + 15431.915940 x¹⁰⁵ + 3243.108226 x¹⁰⁶ + 650.061766 x¹⁰⁷ + 124.798641 x¹⁰⁸ + 23.147524 x¹⁰⁹ + 4.215793 x¹¹⁰ +774649 x¹¹¹ +149273 x¹¹² +31500 x¹¹³ +7539 x¹¹⁴ +2076 x¹¹⁵ +652 x¹¹⁶ +235 x¹¹⁷ +94 x¹¹⁸ +41 x¹¹⁹ +20 x¹²⁰ +10 x¹²¹ +5 x¹²² + 3 x¹²³ +2 x¹²⁴ +x¹²⁵ +x¹²⁶ +x¹²⁷

Generating function for k=7