A111547 Column 3 of triangle A111544; also found in column 0 of triangle A111549, which equals the matrix logarithm of A111544.

1, 4, 23, 165, 1383, 13083, 136863, 1562715, 19301319, 256191363, 3636036783, 54956529675, 881578601559, 14964805041363, 268105552191423, 5057384615702235, 100224731537223399, 2082402995330965923

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Formula

a(n) = A111544(n+3, 3) = A111549(n+1, 0).

Prog

(PARI) {a(n)=if(n<0, 0, (matrix(n+4, n+4, 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))))^-1)[n+4, 4])}

Crossrefs

Cf. A111544, A111549.

Sequence in context: A304074 A307402 A354497 * A171992 A158884 A317057

Adjacent sequences: A111544 A111545 A111546 * A111548 A111549 A111550

Keyword

nonn

Author

Paul D. Hanna, Aug 07 2005

Status

approved