A179304 G.f.: A(x) = exp( Sum_{n>=1} A179305(n)*x^n/n ), where A179305(n) = Sum_{d|n} C(n,d)*sigma(d).

1, 1, 3, 5, 14, 20, 61, 85, 254, 395, 1015, 1521, 4796, 6763, 18194, 28909, 80482, 119001, 340613, 503813, 1425101, 2189198, 5742800, 8764203, 25918633, 38046941, 101831753, 159565629, 435242037, 656987672, 1824971352, 2751000197

Offset

0,3

Links

Table of n, a(n) for n=0..31.

Example

G.f.: A(x) = 1 + x + 3*x^2 + 5*x^3 + 14*x^4 + 20*x^5 + 61*x^6 +...
log(A(x)) = x + 5*x^2/2 + 7*x^3/3 + 29*x^4/4 + 11*x^5/5 + 143*x^6/6 +...

Prog

(PARI) {a(n)=polcoeff(exp(sum(m=1, n, sumdiv(m, d, binomial(m, d)*sigma(d))*x^m/m)+x*O(x^n)), n)}

Crossrefs

Cf. A179305.

Sequence in context: A179213 A074378 A185301 * A026645 A026667 A372436

Adjacent sequences: A179301 A179302 A179303 * A179305 A179306 A179307

Keyword

nonn

Author

Paul D. Hanna, Jul 10 2010

Status

approved