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.

A345465 a(n) = Sum_{d|n} (d!)^d.

This page as a plain text file.
%I A345465 #31 Apr 24 2022 15:55:33
%S A345465 1,5,217,331781,24883200001,139314069504000221,
%T A345465 82606411253903523840000001,6984964247141514123629140377600331781,
%U A345465 109110688415571316480344899355894085582848000000217,395940866122425193243875570782668457763038822400000000024883200005
%N A345465 a(n) = Sum_{d|n} (d!)^d.
%H A345465 Seiichi Manyama, <a href="/A345465/b345465.txt">Table of n, a(n) for n = 1..30</a>
%F A345465 G.f.: Sum_{k >= 1} (k! * x)^k/(1 - x^k).
%F A345465 If p is prime, a(p) = 1 + (p!)^p.
%t A345465 Total/@Table[((Divisors[n])!)^Divisors[n],{n,10}] (* _Harvey P. Dale_, Apr 24 2022 *)
%o A345465 (PARI) a(n) = sumdiv(n, d, d!^d);
%o A345465 (PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=1, N, (k!*x)^k/(1-x^k)))
%Y A345465 Cf. A036739, A062796, A217576, A346196, A348146.
%K A345465 nonn
%O A345465 1,2
%A A345465 _Seiichi Manyama_, Jul 10 2021