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A106835
Expansion of 2*x^2*(-2+9*x+3*x^2)/((2*x^2+5*x-1)*(2*x^2-5*x+1)).
0
0, 4, 22, 114, 590, 3066, 15998, 83786, 440270, 2320314, 12260382, 64931114, 344562670, 1831630106, 9751275838, 51981730186, 277413656590, 1481919831674, 7922862005342, 42388551182314, 226923616315950, 1215450062928346
OFFSET
1,2
FORMULA
From R. J. Mathar_, Apr 07 2009: (Start)
G.f.: 2*x^2*(-2+9*x+3*x^2)/((2*x^2+5*x-1)*(2*x^2-5*x+1)).
a(n)=(-7*A107839(n)+33*A107839(n-1)+A015535(n+1)-3*A015535(n))/4.
a(n) = 10*a(n-1)-25*a(n-2)+4*a(n-4). (End)
MATHEMATICA
M = {{0, 0, 0, 2}, {1, 5, 0, 0}, {0, 2, 0, 0}, {0, 0, 1, 5}};
v[1] = {0, 1, 1, 2};
v[n_] := v[n] = M.v[n - 1];
a = Table[v[n][[1]], {n, 1, 50}]
CROSSREFS
Sequence in context: A274799 A290591 A272435 * A293966 A305554 A291183
KEYWORD
nonn,easy,less
AUTHOR
Roger L. Bagula, May 30 2005
EXTENSIONS
Edited by Associate Editors of the OEIS, Apr 05 2009
Meaningful name from Joerg Arndt, Dec 26 2022
STATUS
approved