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A111538 Column 2 of triangle A111536; also equals column 0 of triangle A111541, which is the matrix log of triangle A111536. 4

%I

%S 1,3,14,84,600,4908,44952,454344,5016768,60062352,775089312,

%T 10728930912,158638465536,2496437377728,41674737264000,

%U 735831528563328,13704461848753152,268562085051533568,5525005742876244480

%N Column 2 of triangle A111536; also equals column 0 of triangle A111541, which is the matrix log of triangle A111536.

%F a(n) = A111536(n+2, 2) = A111541(n+1, 0).

%o (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 Cf. A111536, A111541.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Aug 06 2005

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Last modified January 16 19:48 EST 2022. Contains 350376 sequences. (Running on oeis4.)