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.

A174488 Column 2 of triangle A174485.

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%I A174488 #2 Mar 30 2012 18:37:21
%S A174488 1,3,33,810,35325,2408568,236624733,31654735416,5532363865977,
%T A174488 1223887080470256,334272773792556369,110467177430468340408,
%U A174488 43442224822360939240629,20048090531903711663566248
%N A174488 Column 2 of triangle A174485.
%C A174488 Triangular matrix described by A174485 transforms diagonals of the array A174480 of coefficients of successive iterations of x*exp(x).
%o A174488 (PARI) {a(n,k=2)=local(F=x, xEx=x*exp(x+x*O(x^(n+k+1))), M, N, P, m=n+k); M=matrix(m+2, m+2, r, c, F=x; for(i=1, r+c-2, F=subst(F, x, xEx)); polcoeff(F, c)); N=matrix(m+1, m+1, r, c, M[r, c]); P=matrix(m+1, m+1, r, c, M[r+1, c]); n!*(P~*N~^-1)[n+k+1, k+1]}
%Y A174488 Cf. A174480, A174485, A174486, A174487, A174489.
%K A174488 nonn
%O A174488 0,2
%A A174488 _Paul D. Hanna_, Apr 18 2010