A159322 G.f.: A(x) = Sum_{n>=0} log(1+x + 2^n*x^2)^n/n!.

1, 1, 2, 2, 6, 12, 62, 280, 2380, 22400, 321776, 5837608, 146558244, 4938979584, 221994255984, 13767288844128, 1127789953750020, 129161855009676368, 19561367056434877784, 4170365129835922726384, 1181440903578343187882844

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Example

G.f.: A(x) = 1 + x + 2*x^2 + 2*x^3 + 6*x^4 + 12*x^5 + 62*x^6 +...
A(x) = 1 + log(1+x+2*x^2) + log(1+x+4*x^2)^2/2! + log(1+x+8*x^2)^3/3! +...

Prog

(PARI) {a(n)=polcoeff(sum(k=0, n, log(1+x+2^k*x^2+x*O(x^n))^k/k!), n)}

Crossrefs

Sequence in context: A191970 A175516 A244656 * A049313 A062954 A049954

Adjacent sequences: A159319 A159320 A159321 * A159323 A159324 A159325

Keyword

nonn

Author

Paul D. Hanna, Apr 14 2009

Status

approved