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.

A111549 Matrix logarithm of triangle A111544.

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%I A111549 #4 Mar 30 2012 18:36:50
%S A111549 0,1,0,4,2,0,23,6,3,0,165,32,9,4,0,1383,222,47,13,5,0,13083,1824,321,
%T A111549 70,18,6,0,136863,17016,2607,486,103,24,7,0,1562715,176112,24099,3990,
%U A111549 747,148,31,8,0,19301319,1993392,247527,37182,6351,1140,207,39,9,0
%N A111549 Matrix logarithm of triangle A111544.
%C A111549 Column 0 (A111546) is found in column 3 of triangle A111544.
%F A111549 T(n+1, 0) = A111546(n) = A111544(n+3, 3).
%e A111549 Triangle begins:
%e A111549 0;
%e A111549 1,0;
%e A111549 4,2,0;
%e A111549 23,6,3,0;
%e A111549 165,32,9,4,0;
%e A111549 1383,222,47,13,5,0;
%e A111549 13083,1824,321,70,18,6,0;
%e A111549 136863,17016,2607,486,103,24,7,0;
%e A111549 1562715,176112,24099,3990,747,148,31,8,0; ...
%o A111549 (PARI) {T(n,k)=local(M=matrix(n+1,n+1,m,j,if(m==j,1,if(m==j+1,-m+1, -(m-j-1)*polcoeff(log(sum(i=0,m,(i+2)!/2!*x^i)),m-j-1))))); sum(i=1,#M,(M^0-M)^i/i)[n+1,k+1]}
%Y A111549 Cf. A111544, A111546, A111541.
%K A111549 nonn,tabl
%O A111549 0,4
%A A111549 _Paul D. Hanna_, Aug 07 2005