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.

A105631 Row sums of triangle A105629, which is the matrix logarithm of triangle A105623.

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%I A105631 #3 Mar 30 2012 18:36:45
%S A105631 0,1,5,27,195,1833,21125,286451,4453859,78031153,1520668645,
%T A105631 32631020011,764640901539,19431070911513,532315915981605,
%U A105631 15640217893829891,490640673319698179,16368499360721508833,578693283962999831365
%N A105631 Row sums of triangle A105629, which is the matrix logarithm of triangle A105623.
%C A105631 A105623 equals the matrix square-root of triangle A105615.
%o A105631 (PARI) {a(n)=local(L,M=matrix(n+1,n+1,m,j,if(m>=j,if(m==j,1,if(m==j+1,-2*j, polcoeff(1/sum(i=0,m-j,(2*i)!/i!/2^i*x^i)+O(x^m),m-j)))))^-1); L=sum(i=1,#M,(-1)^(i-1)*(M-M^0)^i/i); return(if(n<0,0,sum(k=0,n,L[n+1,k+1])/2))}
%Y A105631 Cf. A105629, A105623, A105615.
%K A105631 nonn
%O A105631 0,3
%A A105631 _Paul D. Hanna_, Apr 16 2005