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

1, 3, 14, 84, 600, 4908, 44952, 454344, 5016768, 60062352, 775089312, 10728930912, 158638465536, 2496437377728, 41674737264000, 735831528563328, 13704461848753152, 268562085051533568, 5525005742876244480

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Formula

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

Prog

(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])}

Crossrefs

Cf. A111536, A111541.

Sequence in context: A005700 A220911 A088717 * A354003 A324237 A352887

Adjacent sequences: A111535 A111536 A111537 * A111539 A111540 A111541

Keyword

nonn

Author

Paul D. Hanna, Aug 06 2005

Status

approved