A180606 G.f.: A(x) = exp( Sum_{n>=1} (2^n-1)^(n-1)*x^n/n ).

1, 1, 2, 18, 862, 185582, 165592644, 599576207236, 8764375895813558, 516573425446007525398, 122710727732550268600238492, 117431929105754130321446873061820

Offset

0,3

Links

Table of n, a(n) for n=0..11.

Example

G.f.: A(x) = 1 + x + 2*x^2 + 18*x^3 + 862*x^4 + 185582*x^5 +...
log(A(x)) = x + 3*x^2/2 + 7^2*x^3/3 + 15^3*x^4/4 + 31^4*x^5/5 +...

Prog

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

Crossrefs

Cf. A180602.

Sequence in context: A131631 A306789 A015190 * A334553 A369677 A013040

Adjacent sequences: A180603 A180604 A180605 * A180607 A180608 A180609

Keyword

nonn

Author

Paul D. Hanna, Sep 26 2010

Status

approved