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

0,2

Links

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

Formula

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

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 *)

Crossrefs

Cf. A001318, A008443, A014110, A080995.

Sequence in context: A268222 A285630 A078905 * A319930 A357690 A341984

Adjacent sequences: A059157 A059158 A059159 * A059161 A059162 A059163

Keyword

nonn

Author

Judson Neer, Feb 14 2001

Status

approved