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 A159322 G.f.: A(x) = Sum_{n>=0} log(1+x + 2^n*x^2)^n/n!. 0

%I

%S 1,1,2,2,6,12,62,280,2380,22400,321776,5837608,146558244,4938979584,

%T 221994255984,13767288844128,1127789953750020,129161855009676368,

%U 19561367056434877784,4170365129835922726384,1181440903578343187882844

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

%e G.f.: A(x) = 1 + x + 2*x^2 + 2*x^3 + 6*x^4 + 12*x^5 + 62*x^6 +...

%e A(x) = 1 + log(1+x+2*x^2) + log(1+x+4*x^2)^2/2! + log(1+x+8*x^2)^3/3! +...

%o (PARI) {a(n)=polcoeff(sum(k=0,n,log(1+x+2^k*x^2+x*O(x^n))^k/k!),n)}

%K nonn

%O 0,3

%A _Paul D. Hanna_, Apr 14 2009

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Last modified June 18 10:09 EDT 2021. Contains 345098 sequences. (Running on oeis4.)