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

1,1

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).

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

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 *)

Crossrefs

Cf. A167560.

Sequence in context: A226885 A096933 A061299 * A202095 A233787 A280920

Adjacent sequences: A167560 A167561 A167562 * A167564 A167565 A167566

Keyword

easy,nonn

Author

Johannes W. Meijer, Nov 10 2009

Status

approved