A183605 E.g.f.: Sum_{n>=0} (1+x)^(n!)*x^n/n!.

1, 2, 3, 7, 37, 421, 11401, 742561, 126789601, 57620535841, 77176334813761, 312871409331687361, 4015351220724380718721, 177732121057271192821368961, 25950973411086041656101953629441, 14437779409379633175783004929078240001

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Example

E.g.f.: A(x) = 1 + 2*x + 3*x^2/2! + 7*x^3/3! + 37*x^4/4! + 421*x^5/5! + 11401*x^6/6! +...
A(x) = (1+x) + (1+x)*x + (1+x)^2*x^2/2! + (1+x)^6*x^3/3! + (1+x)^24*x^4/4! +...

Prog

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

Crossrefs

Sequence in context: A304524 A034900 A079388 * A000317 A047024 A182219

Adjacent sequences: A183602 A183603 A183604 * A183606 A183607 A183608

Keyword

nonn

Author

Paul D. Hanna, Jan 12 2011

Status

approved