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 A159602 G.f.: A(x) = Sum_{n>=0} log(1 + x/(1-2^n*x))^n/n!. 1
 1, 1, 2, 6, 26, 152, 1202, 12840, 184060, 3552960, 92338448, 3237738008, 153574021372, 9872941474544, 862850471831896, 102720981260693424, 16701084112350547436, 3715705202756433837504, 1133547354784950481434016 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS EXAMPLE 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! +... PROG (PARI) {a(n)=polcoeff(sum(m=0, n, log(1+x/(1-2^m*x+x*O(x^n)))^m/m!), n)} CROSSREFS Sequence in context: A185994 A032187 A003659 * A032271 A205502 A107104 Adjacent sequences:  A159599 A159600 A159601 * A159603 A159604 A159605 KEYWORD nonn AUTHOR Paul D. Hanna, May 08 2009 STATUS approved

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