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.

A377453 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^3.

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%I A377453 #10 Oct 29 2024 09:07:08
%S A377453 1,3,33,639,18177,687663,32585793,1858893039,124128928257,
%T A377453 9502575055983,820716875385153,78959656742857839,8375163183606235137,
%U A377453 971063889443489669103,122194096152956362997313,16586054767142612489229039,2415658529914018225123490817,375779208568915395913102663023
%N A377453 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^3.
%F A377453 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A377450.
%F A377453 a(n) = 3 * Sum_{k=0..n} (4*k+2)!/(3*k+3)! * Stirling2(n,k).
%o A377453 (PARI) a(n) = 3*sum(k=0, n, (4*k+2)!/(3*k+3)!*stirling(n, k, 2));
%Y A377453 Cf. A052895, A377452, A377454.
%Y A377453 Cf. A377450.
%K A377453 nonn
%O A377453 0,2
%A A377453 _Seiichi Manyama_, Oct 28 2024