A302751 Expansion of 1 + x*(1 + 2*x^2*(1 + 3*x^3*(1 + 4*x^4*(1 + ...)^4)^3)^2).

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

Links

Table of n, a(n) for n=0..38.

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

Cf. A095793, A108643, A128318, A228866, A302688.

Sequence in context: A054922 A289651 A342588 * A350909 A244139 A350732

Adjacent sequences: A302748 A302749 A302750 * A302752 A302753 A302754

Keyword

nonn

Author

Ilya Gutkovskiy, Apr 12 2018

Status

approved