A155811 - OEIS

A155811

a(n) = [x^(n+1)*y] exp( Sum_{m>=1} (2^m + y)^m * x^m/m ), in which the coefficients of x^n*y^k are integer for n>=k>=0.

1, 6, 82, 4452, 1074934, 1082704500, 4411700155252, 72146891831948808, 4724816968764733073446, 1238218148763614236043117508, 1298203457233136135837147642852956

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..10.

FORMULA

Column 1 of triangle A155810.

PROG

(PARI) {a(n)=polcoeff(polcoeff(exp(sum(m=1, n+1, (2^m+y)^m*x^m/m)+x*O(x^(n+1))), n+1, x), 1, y)}

CROSSREFS

Cf. A155810.

Sequence in context: A251584 A068253 A188806 * A239170 A112462 A283198

Adjacent sequences: A155808 A155809 A155810 * A155812 A155813 A155814

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Feb 04 2009

STATUS

approved