A123960 Expansion of 2*x^4 / (1 - 11*x + 45*x^2 - 80*x^3 + 49*x^4).

0, 0, 0, 2, 22, 152, 842, 4084, 18116, 75408, 299730, 1152834, 4338280, 16126958, 59713888, 221713192, 829301072, 3132108250, 11945717358, 45938159040, 177695375802, 689616061412, 2679197337100, 10403108215760, 40332521702522

Offset

1,4

Links

Table of n, a(n) for n=1..25.

Index entries for linear recurrences with constant coefficients, signature (11,-45,80,-49).

Mathematica

M = {{2, -1, 0, 0}, {-1, 3, -1, 0}, {0, -1, 3, 2}, {0, 0, -1, 3}}; v[1] = {0, 0, 0, 1}; v[n_] := v[n] = M.v[n - 1]; a1 = Table[v[n][[1]], {n, 1, 50}]
LinearRecurrence[{11, -45, 80, -49}, {0, 0, 0, 2}, 30] (* Harvey P. Dale, Oct 05 2015 *)

Crossrefs

Sequence in context: A286778 A232977 A282819 * A265864 A091169 A279380

Adjacent sequences: A123957 A123958 A123959 * A123961 A123962 A123963

Keyword

nonn

Author

Gary W. Adamson and Roger L. Bagula, Oct 28 2006

Status

approved