A202629 G.f.: exp( Sum_{n>=1} (3^n - A(x))^n * x^n/n ).

1, 2, 32, 5872, 10244654, 166008832278, 24810745551644598, 34076373857728228215714, 428687442859626139066325301140, 49247086410581981443124673896698437124, 51529024823944797258322973430879108808780359272

Offset

0,2

Links

Table of n, a(n) for n=0..10.

Example

 G.f.: A(x) = 1 + 2*x + 32*x^2 + 5872*x^3 + 10244654*x^4 + 166008832278*x^5 +...
where
log(A(x)) = (3 - A(x))*x + (3^2 - A(x))^2*x^2/2 + (3^3 - A(x))^3*x^3/3 + (3^4 - A(x))^4*x^4/4 +...

Prog

 (PARI) {a(n)=local(A=1+x); for(i=1, n, A=exp(sum(m=1, n, (3^m-A+x*O(x^n))^m*x^m/m))); polcoeff(A, n)}

Crossrefs

Cf. A202630, A202518, A155203.

Sequence in context: A018241 A012599 A247859 * A129349 A180127 A342099

Adjacent sequences: A202626 A202627 A202628 * A202630 A202631 A202632

Keyword

nonn

Author

Paul D. Hanna, Dec 21 2011

Status

approved