A155813 a(n) = [x^(n+1)*y] exp( Sum_{m>=1} (3^m + y)^m * x^m/m ), in which the coefficients of x^n*y^k are integer for n>=k>=0.

1, 12, 801, 540720, 3499254081, 206071208583660, 109444624780070083617, 523382147212408702381556928, 22528830325874782877760713232652641, 8728012905287889947187989190298586968026540

Offset

0,2

Links

Table of n, a(n) for n=0..9.

Formula

Column 1 of triangle A155812.

Prog

(PARI) {a(n)=polcoeff(polcoeff(exp(sum(m=1, n+1, (3^m+y)^m*x^m/m)+x*O(x^(n+1))), n+1, x), 1, y)}

Crossrefs

Cf. A155812.

Sequence in context: A285150 A221289 A341562 * A220119 A178023 A305935

Adjacent sequences: A155810 A155811 A155812 * A155814 A155815 A155816

Keyword

nonn

Author

Paul D. Hanna, Feb 04 2009

Status

approved