A167563 The sixth row of the ED2 array A167560.

720, 3360, 10752, 27648, 61440, 122880, 226800, 392832, 646128, 1018080, 1547040, 2279040, 3268512, 4579008, 6283920, 8467200, 11224080, 14661792, 18900288, 24072960, 30327360, 37825920, 46746672, 57283968, 69649200

Offset: 1

Author

Johannes W. Meijer, Nov 10 2009

Keywords

• easy
• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 1..1000
• Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1).

Crossrefs

Cf. A167560.

Programs

Mathematica

Table[6*n^5 + 20*n^4 + 202*n^3 + 124*n^2 + 368*n, {n,1,100}] (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1},{720, 3360, 10752, 27648, 61440, 122880},100] (* G. C. Greubel, Jun 16 2016 *)

Formula

a(n) = 6*n^5 + 20*n^4 + 202*n^3 + 124*n^2 + 368*n.

G.f.: (432*z^4 - 864*z^3 + 1392*z^2 - 960*z + 720)/(1-z)^6.

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6). - G. C. Greubel, Jun 16 2016