A138053 Expansion of -x^2*(19440*x^4+2160*x^3-2304*x^2-150*x+55) /((3*x+1)*(6*x-1)*(6*x+1)*(15*x-1)*(12*x^2-1)).

0, 55, 510, 8931, 125082, 1914687, 28427814, 427716315, 6405522930, 96128646615, 1441565232030, 21625116326451, 324363664692522, 4865513805027567, 72982236661089174, 1094735666472619275, 16421018067720814050

Offset

1,2

Links

Table of n, a(n) for n=1..17.

Index entries for linear recurrences with constant coefficients, signature (12,93,-576,-2592,5184,19440).

Formula

G.f.: -x^2*(19440*x^4+2160*x^3-2304*x^2-150*x+55) /((3*x+1)*(6*x-1)*(6*x+1)*(15*x-1)*(12*x^2-1)). [Colin Barker, Dec 06 2012]

Mathematica

d = 6
M = Table[Mod[n + m, 6], {n, 0, d - 1}, {m, 0, d - 1}]
v = Table[n, {n, 0, d - 1}] {0, 1, 2, 3, 4, 5}
w[n_] := MatrixPower[M, n].v
a = Table[w[n][[1]], {n, 0, 20}]

Crossrefs

Sequence in context: A266035 A241699 A262103 * A183320 A185028 A222797

Adjacent sequences: A138050 A138051 A138052 * A138054 A138055 A138056

Keyword

nonn,easy,less

Author

Roger L. Bagula and Gary W. Adamson, May 02 2008

Extensions

Meaningful name from Joerg Arndt, Dec 26 2022

Status

approved