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 A336295 #8 Jul 27 2023 16:57:18 %S A336295 1,1,5,251,359200,25822962624,141766192358448256, %T A336295 83301485967496541735457536,7013555995366382867427754604471779328, %U A336295 109330254486209621988088555707809713786027354619904,396335044092985772297627538614627390881554195217999599121962369024 %N A336295 a(n) = (n!)^n * [x^n] Product_{k>=1} 1/(1 - x^k/k^n). %H A336295 Alois P. Heinz, <a href="/A336295/b336295.txt">Table of n, a(n) for n = 0..30</a> %p A336295 b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0, %p A336295 b(n, i-1, k)+b(n-i, min(n-i, i), k)*((i-1)!*binomial(n, i))^k)) %p A336295 end: %p A336295 a:= n-> b(n$3): %p A336295 seq(a(n), n=0..12); # _Alois P. Heinz_, Jul 27 2023 %t A336295 Table[(n!)^n SeriesCoefficient[Product[1/(1 - x^k/k^n), {k, 1, n}], {x, 0, n}], {n, 0, 10}] %Y A336295 Cf. A007841, A215910, A249588, A249593, A269791, A269793, A269794. %K A336295 nonn %O A336295 0,3 %A A336295 _Ilya Gutkovskiy_, Jul 16 2020