A059160 Number of ordered ways of writing n as a sum of 5 generalized pentagonal numbers (A001318).

1, 5, 15, 30, 45, 56, 65, 85, 115, 150, 171, 175, 185, 205, 260, 300, 325, 340, 350, 415, 440, 485, 500, 505, 580, 581, 650, 645, 675, 815, 815, 910, 845, 865, 985, 951, 1130, 1030, 1060, 1155, 1150, 1370, 1265, 1410, 1495, 1420, 1545, 1460, 1600, 1675, 1690

Offset: 0

Author

Judson Neer, Feb 14 2001

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A001318, A008443, A014110, A080995.

Programs

Mathematica

a[n_] := SeriesCoefficient[(QPochhammer[-q, q^3]* QPochhammer[-q^2, q^3]*QPochhammer[q^3, q^3])^5, {q, 0, n}]; Table[a[n], {n, 0, 50}] (* G. C. Greubel, Jun 12 2017 *)

Formula

G.f.: f(x, x^2)^5 where f(,) is Ramanujan's two-variable theta function. - Michael Somos, Jun 08 2012