A382950 a(n) = [(x*y)^n] Product_{k>=1} (1 + x^k + y^k)^n.
1, 0, 6, 102, 1342, 20030, 306852, 4783534, 75873934, 1220259306, 19837742836, 325375411438, 5376744428812, 89412908941096, 1494992390431000, 25114561595879252, 423649216254936110, 7172523302899053230, 121828099966104173892, 2075321708914763792740
Offset: 0
Keywords
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 0..200
Programs
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Mathematica
Table[SeriesCoefficient[Product[(1 + x^k + y^k)^n, {k, 1, n}], {x, 0, n}, {y, 0, n}], {n, 0, 19}]
Formula
a(n) ~ c * d^n / n, where d = 17.95370167248385600263... and c = 0.0600668009236121058... - Vaclav Kotesovec, Apr 10 2025