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%I A357454 #5 Oct 01 2022 00:37:16
%S A357454 1,1,2,2,4,4,6,6,10,10,14,14,20,20,26,26,36,36,46,46,60,60,74,74,94,
%T A357454 94,114,114,140,140,166,167,202,203,238,240,284,286,330,334,390,394,
%U A357454 450,456,524,530,598,608,692,702,786,800,900,914,1014,1034
%N A357454 Number of partitions of n into pentanacci numbers 1,2,4,8,16,31, ... (A001591).
%F A357454 G.f.: Product_{k>=5} 1 / (1 - x^A001591(k)).
%t A357454 A001591[0] = A001591[1] = A001591[2] = A001591[3] = 0; A001591[4] = 1; A001591[n_] := A001591[n] = A001591[n - 1] + A001591[n - 2] + A001591[n - 3] + A001591[n - 4] + A001591[n - 5]; nmax = 55; CoefficientList[Series[Product[1/(1 - x^A001591[k]), {k, 5, 20}], {x, 0, nmax}], x]
%Y A357454 Cf. A001591, A003107, A240844, A288120, A357452, A357455.
%K A357454 nonn
%O A357454 0,3
%A A357454 _Ilya Gutkovskiy_, Sep 29 2022

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