login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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
0, 55, 510, 8931, 125082, 1914687, 28427814, 427716315, 6405522930, 96128646615, 1441565232030, 21625116326451, 324363664692522, 4865513805027567, 72982236661089174, 1094735666472619275, 16421018067720814050
OFFSET
1,2
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
KEYWORD
nonn,easy,less
AUTHOR
EXTENSIONS
Meaningful name from Joerg Arndt, Dec 26 2022
STATUS
approved