A159602 G.f.: A(x) = Sum_{n>=0} log(1 + x/(1-2^n*x))^n/n!.

1, 1, 2, 6, 26, 152, 1202, 12840, 184060, 3552960, 92338448, 3237738008, 153574021372, 9872941474544, 862850471831896, 102720981260693424, 16701084112350547436, 3715705202756433837504, 1133547354784950481434016

Offset: 0

Author

Paul D. Hanna, May 08 2009

Keywords

• nonn

Examples

			G.f.: A(x) = 1 + x + 2*x^2 + 6*x^3 + 26*x^4 + 152*x^5 +...
A(x) = Sum_{n>=0} log(1 + x + 2^n*x^2 + 4^n*x^3 + 8^n*x^4 +..)^n/n!.
A(x) = 1 + log(1+x/(1-2x)) + log(1+x/(1-4x))^2/2! + log(1+x/(1-8x))^3/3! +...
		

Programs

PARI

{a(n)=polcoeff(sum(m=0,n,log(1+x/(1-2^m*x+x*O(x^n)))^m/m!),n)}