This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A382947 #12 Apr 11 2025 10:38:18 %S A382947 1,2,16,78,426,1940,9300,40530,177940,749788,3137352,12865488, %T A382947 52425432,211336062,848099898,3385259588,13475690578,53504526568, %U A382947 212146065506,840218845230,3325872415258,13159945010474,52064974607244,205979887425498,814961759722486 %N A382947 a(n) = [(x*y)^n] Product_{k>=1} 1 / (1 - x^k - y^k)^k. %H A382947 Vaclav Kotesovec, <a href="/A382947/b382947.txt">Table of n, a(n) for n = 0..200</a> %F A382947 a(n) ~ c * 4^n / sqrt(n), where c = 19.59922592... - _Vaclav Kotesovec_, Apr 11 2025 %t A382947 Table[SeriesCoefficient[Product[1/(1 - x^k - y^k)^k, {k, 1, n}], {x, 0, n}, {y, 0, n}], {n, 0, 24}] %Y A382947 Cf. A000219, A322211. %K A382947 nonn %O A382947 0,2 %A A382947 _Ilya Gutkovskiy_, Apr 09 2025