A183230 G.f.: Sum_{n>=0} a(n)*x^n/n!^3 = Product_{n>=1} (1 + x^n/n!^3).

1, 1, 1, 28, 65, 1126, 219592, 1210105, 26891713, 2147043538, 2019029825126, 21746314187335, 770200602942872, 54021095931416459, 16833586753169817373, 54446959965626243089903, 1039787297277083116535233

Offset

0,4

Links

Table of n, a(n) for n=0..16.

Example

G.f.: A(x) = 1 + x + x^2/2!^3 + 28*x^3/3!^3 + 65*x^4/4!^3 +...
A(x) = (1 + x)*(1 + x^2/2!^3)*(1 + x^3/3!^3)*(1 + x^4/4!^3)*...

Prog

(PARI) {a(n)=n!^3*polcoeff(prod(k=1, n, 1+x^k/k!^3 +x*O(x^n)), n)}

Crossrefs

Cf. A183229, A007837.

Sequence in context: A044511 A290543 A344044 * A246911 A323918 A039460

Adjacent sequences: A183227 A183228 A183229 * A183231 A183232 A183233

Keyword

nonn

Author

Paul D. Hanna, Jan 04 2011

Status

approved