A111557 - OEIS

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

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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