A159603 G.f.: A(x) = Sum_{n>=0} log(1 + Sum_{k>=1} k^n*x^k )^n/n!.

1, 1, 2, 5, 16, 62, 312, 2001, 16796, 183416, 2634814, 49703026, 1240433524, 40975503423, 1803618092422, 105967390883387, 8362303039735026, 888404336012975536, 127771790716640691664, 24942884185805223709166

Offset

0,3

Links

Table of n, a(n) for n=0..19.

Example

G.f.: A(x) = 1 + x + 2*x^2 + 5*x^3 + 16*x^4 + 62*x^5 +...
A(x) = Sum_{n>=0} log(1 + x + 2^n*x^2 + 3^n*x^3 + 4^n*x^4 +..)^n/n!

Prog

(PARI) {a(n)=polcoeff(sum(m=0, n, log(1+sum(k=1, n, k^m*x^k)+x*O(x^n))^m/m!), n)}

Crossrefs

Cf. A136553 (variant).

Sequence in context: A144188 A157314 A374073 * A058117 A007124 A112951

Adjacent sequences: A159600 A159601 A159602 * A159604 A159605 A159606

Keyword

nonn

Author

Paul D. Hanna, May 08 2009

Status

approved