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 A372210 #16 Apr 24 2024 06:06:27 %S A372210 1,6,55,600,7946,123480,2208492,44710272,1011177360,25274905920, %T A372210 692042185440,20602098316800,662620120237440,22898921925035520, %U A372210 846245264387040000,33303963647943475200,1390631677349880268800,61407154400075559936000,2859166138267857522585600 %N A372210 Product of n!, n-th Pell number and n-th harmonic number. %F A372210 E.g.f.: (2*x*log(-x^2-2*x+1)+(sqrt(2)-sqrt(2)*x)*log(-((sqrt(2)+1)*x-1) / ((sqrt(2)-1)*x+1)))/(4*(x^2+2*x-1)). %F A372210 a(n) = n!*A000129(n)*A001008(n)/A002805(n). %F A372210 D-finite with recurrence 8*a(n) +16*(-2*n+1)*a(n-1) +(16*n^2-32*n+25)*a(n-2) +4*(8*n^3-36*n^2+47*n-13)*a(n-3) +2*(2*n-5)*(2*n^3-11*n^2+17*n-7)*a(n-4) +4*(n-4)^3*a(n-5) +(n-4)^2*(n-5)^2*a(n-6)=0. - _R. J. Mathar_, Apr 24 2024 %Y A372210 Cf. A000129, A000142, A000254, A001008, A002805, A052631. %K A372210 nonn %O A372210 1,2 %A A372210 _Vladimir Kruchinin_, Apr 22 2024