A183229 G.f.: Sum_{n>=0} a(n)*x^n/n!^2 = Product_{n>=1} (1 + x^n/n!^2).

1, 1, 1, 10, 17, 126, 3862, 12741, 110609, 1929430, 167593826, 845443941, 11064102326, 178820437901, 7538334414717, 1483432379403435, 10962589471724049, 189591619730952006, 3827839859607324106

Offset

0,4

Links

Table of n, a(n) for n=0..18.

Example

G.f.: A(x) = 1 + x + x^2/2!^2 + 10*x^3/3!^2 + 17*x^4/4!^2 +...
A(x) = (1 + x)*(1 + x^2/2!^2)*(1 + x^3/3!^2)*(1 + x^4/4!^2)*...

Prog

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

Crossrefs

Cf. A183230, A007837.

Sequence in context: A043939 A351498 A058621 * A219879 A177185 A241281

Adjacent sequences: A183226 A183227 A183228 * A183230 A183231 A183232

Keyword

nonn

Author

Paul D. Hanna, Jan 04 2011

Status

approved