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A302751
Expansion of 1 + x*(1 + 2*x^2*(1 + 3*x^3*(1 + 4*x^4*(1 + ...)^4)^3)^2).
0
1, 1, 0, 2, 0, 0, 12, 0, 0, 18, 144, 0, 0, 432, 576, 2880, 0, 4320, 9408, 23040, 21600, 109440, 172800, 110880, 662400, 832320, 2678400, 4060800, 10296000, 9412992, 32922000, 63676800, 135734400, 263556528, 281030400, 973036800, 1906704000, 4069224000, 5184984960
OFFSET
0,4
EXAMPLE
G.f. A(x) = 1 + x + 2*x^3 + 12*x^6 + 18*x^9 + 144*x^10 + 432*x^13 + 576*x^14 + 2880*x^15 + ...
MATHEMATICA
nmax = 38; CoefficientList[Series[1 + x Fold[((#2 + 1) x^(#2 + 1) #1 + 1)^#2 &, 0, Reverse[Range[nmax]]], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Apr 12 2018
STATUS
approved