A382949 a(n) = [(x*y)^n] Product_{k>=1} 1 / (1 - x^k - y^k)^n.
1, 2, 48, 1190, 33648, 996292, 30626316, 965163166, 30995087312, 1009925740946, 33289934968618, 1107728567917028, 37149902553751260, 1254165186821008126, 42580296599191705276, 1452739684287637542640, 49776378699192072523920, 1711962807156690517057454
Offset: 0
Keywords
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 0..200
Programs
-
Mathematica
Table[SeriesCoefficient[Product[1/(1 - x^k - y^k)^n, {k, 1, n}], {x, 0, n}, {y, 0, n}], {n, 0, 17}]
Formula
a(n) ~ c * d^n / n, where d = 36.5023860624117446261380818... and c = 0.08167564464819257818345... - Vaclav Kotesovec, Apr 10 2025