Search: id:A111538
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%I A111538
%S A111538 1,3,14,84,600,4908,44952,454344,5016768,60062352,775089312,10728930912,
%T A111538 158638465536,2496437377728,41674737264000,735831528563328,
%U A111538 13704461848753152,268562085051533568,5525005742876244480
%N A111538 Column 2 of triangle A111536; also equals column 0 of triangle A111541, 
               which is the matrix log of triangle A111536.
%F A111538 a(n) = A111536(n+2, 2) = A111541(n+1, 0).
%o A111538 (PARI) {a(n)=if(n<0,0,(matrix(n+3,n+3,m,j,if(m==j,1,if(m==j+1,-m+1, -(m-j-1)*polcoeff(log(sum(i=0,
               m,(i+1)!/1!*x^i)),m-j-1))))^-1)[n+3,3])}
%Y A111538 Cf. A111536, A111541.
%Y A111538 Sequence in context: A074535 A005700 A088717 this_sequence A088716 A005189 
               A074520
%Y A111538 Adjacent sequences: A111535 A111536 A111537 this_sequence A111539 A111540 
               A111541
%K A111538 nonn
%O A111538 0,2
%A A111538 Paul D. Hanna (pauldhanna(AT)juno.com), Aug 06 2005

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