OFFSET
0,2
COMMENTS
The sequence is also 2^n times the sum of the three top-row entries
of the n-th power of the matrix (0,2,0; 0,0,2;, 2,1/8,0) .
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 1, 64).
FORMULA
G.f.: -(1+4*x+15*x^2)/(-1+x^2+64*x^3). [From R. J. Mathar, Mar 26 2009]
MATHEMATICA
Clear[M, v, t, n];
M = {{0, t, 0}, {0, 0, t}, {t, 1/t^3, 0}};
v[0] = {1, 1, 1};
v[n_] := v[n] = M.v[n - 1];
CharacteristicPolynomial[M, x];
t = 2; a = Table[t^n*v[n][[1]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Roger L. Bagula, Mar 25 2009
EXTENSIONS
Definition replaced by recurrence - The Associate Editors of the OEIS - Oct 05 2009
STATUS
approved