OFFSET
0,4
MATHEMATICA
(* A004001 *) g[0] = 0; g[1] = 1; g[2] = 1; g[n_] := g[n] = g[g[n - 1]] + g[n - g[n - 1]];
(*A147952*) f[0] = 0; f[1] = 1; f[2] = 1; f[n_] := f[n] = f[f[n - 2]] + If[Mod[n, 3] == 0, f[f[n/3]], If[Mod[n, 3] ==1, f[f[(n - 1)/3]], f[n - f[(n - 2)/3]]]];
P[x_, n_] := P[x, n] = Product[1 + f[g[m]]*x^m, {m, 0, n}];
Take[CoefficientList[P[x, 45], x], 45] (* Program simplified and corrected by Petros Hadjicostas, Apr 11 2020 using code from A147869 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Roger L. Bagula, Nov 18 2008
EXTENSIONS
Various sections edited by Petros Hadjicostas, Apr 11 2020
STATUS
approved