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.

A101982 Row sums of triangle A101980, which is the matrix logarithm of A008459 (squared entries of Pascal's triangle).

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%I A101982 #5 Mar 30 2012 18:36:44
%S A101982 0,1,3,4,11,-44,942,-23561,806955,-35956868,2023718198,-140435834681,
%T A101982 11782131588086,-1175694615277233,137629159046661089,
%U A101982 -18679508311308283526,2909710453923000618155,-515605748075502971981108,103130355820655917046896638,-23123715029010809457898920545
%N A101982 Row sums of triangle A101980, which is the matrix logarithm of A008459 (squared entries of Pascal's triangle).
%C A101982 A101981 is essentially a signed offset version of A002190 and is related to Bessel functions.
%F A101982 a(n) = Sum_{k=0..n} A101981(n-k)*C(n, k)^2.
%o A101982 (PARI) {a(n)=sum(k=0,n,sum(m=1,n,(-1)^(m-1)* (matrix(n+1,n+1,i,j,if(i>j,binomial(i-1,j-1)^2))^m/m)[n+1,k+1]))}
%Y A101982 Cf. A008459, A002190, A101980, A101981.
%K A101982 sign
%O A101982 0,3
%A A101982 _Paul D. Hanna_, Dec 23 2004