A185292 Expansion of (x*(1+x)/(1-x^3))^4.

0, 0, 0, 0, 1, 4, 6, 8, 17, 24, 26, 44, 60, 60, 90, 120, 115, 160, 210, 196, 259, 336, 308, 392, 504, 456, 564, 720, 645, 780, 990, 880, 1045, 1320, 1166, 1364, 1716, 1508, 1742, 2184, 1911, 2184, 2730, 2380, 2695

Offset: 0

Author

Philippe Deléham, Jan 25 2012

Keywords

• easy
• nonn

Comments

Expansion of ((x+x^2)/(1-x^3))^k for k = 4 ; for k=1 see A011655, for k = 2 see A186731, for k = 3 see A185395.

Column k = 4 of triangle in A198295.

Links

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

Crossrefs

Cf. A011655, A186731, A185395, A198295

Programs

Mathematica

CoefficientList[Series[(x*(1 + x)/(1 - x^3))^4, {x, 0, 50}], x] (* G. C. Greubel, Jun 25 2017 *)

PARI

x='x+O('x^50); concat([0,0,0,0], Vec((x*(1+x)/(1-x^3))^4)) \\ G. C. Greubel, Jun 25 2017

Formula

G.f.: (x*(1+x)/(1-x^3))^4.