Generating function for k=5

Generating function for k=5

x⁵ +4 x⁶ +15 x⁷ +61 x⁸ +277 x⁹ +1439 x¹⁰ +8858 x¹¹ +62311 x¹² +459828 x¹³ + 3.346151 x¹⁴ + 23.246482 x¹⁵ + 152.150717 x¹⁶ + 934.417218 x¹⁷ + 5384.092498 x¹⁸ + 29148.064514 x¹⁹ + 148553.740396 x²⁰ + 714220.658539 x²¹ + 3.245851.673878 x²² + 13.969865.827855 x²³ + 57.040447.457457 x²⁴ + 221.310018.755076 x²⁵ + 817.130054.419908 x²⁶ + 2875.057204.130081 x²⁷ + 9651.917929.342880 x²⁸ + 30952.586498.573028 x²⁹ + 94921.047265.219302 x³⁰ + 278638.804174.553404 x³¹ + 783670.925718.180533 x³² + 2.113535.505672.755622 x³³ + 5.470325.107144.382012 x³⁴ + 13.597661.835063.704046 x³⁵ + 32.483297.765682.167683 x³⁶ + 74.623783.546415.543331 x³⁷ + 164.957824.159443.108927 x³⁸ + 351.064067.728347.843233 x³⁹ + 719.681310.389955.876761 x⁴⁰ + 1421.809377.750956.873207 x⁴¹ + 2708.208282.769410.199578 x⁴² + 4975.545374.398165.303002 x⁴³ + 8820.284882.627504.804697 x⁴⁴ + 15092.487338.233453.627388 x⁴⁵ + 24935.413703.169123.440783 x⁴⁶ + 39790.553586.005938.976327 x⁴⁷ + 61343.769878.576284.071070 x⁴⁸ + 91389.697711.656966.238189 x⁴⁹ + 131601.164398.925583.870170 x⁵⁰ + 183209.463827.295664.545652 x⁵¹ + 246628.124024.869616.874889 x⁵² + 321081.896945.901526.573482 x⁵³ + 404325.351341.609846.004338 x⁵⁴ + 492541.791282.186526.366099 x⁵⁵ + 580495.682261.358476.706488 x⁵⁶ + 661968.760197.615961.158630 x⁵⁷ + 730448.286896.783528.863488 x⁵⁸ + 779970.204502.547281.223910 x⁵⁹ + 805969.211243.367100.211303 x⁶⁰ + 805969.211243.367100.211303 x⁶¹ + 779970.204502.547281.223910 x⁶² + 730448.286896.783528.863488 x⁶³ + 661968.760197.615961.158630 x⁶⁴ + 580495.682261.358476.706488 x⁶⁵ + 492541.791282.186526.366099 x⁶⁶ + 404325.351341.609846.004338 x⁶⁷ + 321081.896945.901526.573482 x⁶⁸ + 246628.124024.869616.874889 x⁶⁹ + 183209.463827.295664.545652 x⁷⁰ + 131601.164398.925583.870170 x⁷¹ + 91389.697711.656966.238189 x⁷² + 61343.769878.576284.071070 x⁷³ + 39790.553586.005938.976327 x⁷⁴ + 24935.413703.169123.440783 x⁷⁵ + 15092.487338.233453.627388 x⁷⁶ + 8820.284882.627504.804697 x⁷⁷ + 4975.545374.398165.303002 x⁷⁸ + 2708.208282.769410.199578 x⁷⁹ + 1421.809377.750956.873207 x⁸⁰ + 719.681310.389955.876762 x⁸¹ + 351.064067.728347.843234 x⁸² + 164.957824.159443.108928 x⁸³ + 74.623783.546415.543333 x⁸⁴ + 32.483297.765682.167687 x⁸⁵ + 13.597661.835063.704052 x⁸⁶ + 5.470325.107144.382024 x⁸⁷ + 2.113535.505672.755645 x⁸⁸ + 783670.925718.180580 x⁸⁹ + 278638.804174.553498 x⁹⁰ + 94921.047265.219503 x⁹¹ + 30952.586498.573430 x⁹² + 9651.917929.343687 x⁹³ + 2875.057204.131586 x⁹⁴ + 817.130054.422567 x⁹⁵ + 221.310018.759380 x⁹⁶ + 57.040447.463929 x⁹⁷ + 13.969865.836701 x⁹⁸ + 3.245851.685005 x⁹⁹ + 714220.671262 x¹⁰⁰ + 148553.753754 x¹⁰¹ + 29148.077237 x¹⁰² + 5384.103625 x¹⁰³ + 934.426064 x¹⁰⁴ + 152.157189 x¹⁰⁵ + 23.250786 x¹⁰⁶ + 3.348810 x¹⁰⁷ +461333 x¹⁰⁸ +63118 x¹⁰⁹ +9260 x¹¹⁰ +1640 x¹¹¹ +371 x¹¹² +108 x¹¹³ +38 x¹¹⁴ +16 x¹¹⁵ +7 x¹¹⁶ +4 x¹¹⁷ +2 x¹¹⁸ +x¹¹⁹ +x¹²⁰ +x¹²¹

Generating function for k=5