A111557 Column 4 of triangle A111553; also found in column 0 of triangle A111560, which equals the matrix logarithm of A111553.

1, 5, 34, 282, 2696, 28792, 337072, 4273632, 58195072, 846038912, 13072140032, 213897731712, 3695682017792, 67254929193472, 1286282280266752, 25802708552696832, 541894309127053312, 11894387852938452992

Offset

0,2

Links

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

Formula

a(n) = A111553(n+4, 4) = A111560(n+1, 0).

Prog

(PARI) {a(n)=if(n<0, 0, (matrix(n+5, n+5, m, j, if(m==j, 1, if(m==j+1, -m+1, -(m-j-1)*polcoeff(log(sum(i=0, m, (i+3)!/3!*x^i)), m-j-1))))^-1)[n+5, 5])}

Crossrefs

Cf. A111553, A111560.

Sequence in context: A257887 A090367 A189488 * A211794 A289147 A284864

Adjacent sequences: A111554 A111555 A111556 * A111558 A111559 A111560

Keyword

nonn

Author

Paul D. Hanna, Aug 07 2005

Status

approved