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A183604 E.g.f.: Sum_{n>=0} (1+x)^(n^2)*x^n/n!. 0
1, 1, 3, 13, 109, 1041, 14191, 236293, 4712793, 113061889, 3149562331, 100617526461, 3660463878853, 149772851618833, 6831434952176199, 345197855050549621, 19198332224485686961, 1168264651674879727233 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

EXAMPLE

E.g.f.: A(x) = 1 + x + 3*x^2/2! + 13*x^3/3! + 109*x^4/4! +...

A(x) = 1 + (1+x)*x + (1+x)^4*x^2/2! + (1+x)^9*x^3/3! + (1+x)^16*x^4/4! +...

PROG

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

CROSSREFS

Sequence in context: A333736 A220704 A061377 * A228563 A222863 A223911

Adjacent sequences:  A183601 A183602 A183603 * A183605 A183606 A183607

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jan 12 2011

STATUS

approved

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Last modified June 12 08:13 EDT 2021. Contains 344943 sequences. (Running on oeis4.)