cp's OEIS Frontend

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.

A374885 Obverse convolution (n^2)**(n(n+1)/2); see Comments.

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%I A374885 #8 Aug 02 2024 18:59:31
%S A374885 0,1,24,1080,78400,8415000,1254839040,248351295808,63008824320000,
%T A374885 19941885512640000,7702879929184000000,3566623957287040742400,
%U A374885 1950112829958404302503936,1243182598706645953527808000,913988528405739663528960000000
%N A374885 Obverse convolution (n^2)**(n(n+1)/2); see Comments.
%C A374885 See A374848 for the definition of obverse convolution and a guide to related sequences.
%F A374885 a(n) ~ n^(2*n+2) / (2^((n+2)/3) * exp(2*n - (2*n+1)*Pi/(3*sqrt(2)))). - _Vaclav Kotesovec_, Jul 31 2024
%t A374885 s[n_] := n^2; t[n_] := n (n + 1)/2;
%t A374885 u[n_] := Product[s[k] + t[n - k], {k, 0, n}]
%t A374885 Table[u[n], {n, 0, 20}]
%Y A374885 Cf. A000217, A000290, A374848.
%K A374885 nonn
%O A374885 0,3
%A A374885 _Clark Kimberling_, Jul 31 2024