OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (1,0,0,256).
FORMULA
a(n)= +a(n-1) + 256*a(n-4).
MATHEMATICA
Clear[M, v, t, n];
M = {{0, t, 0, 0}, {0, 0, t, 0}, {0, 0, 0, t}, {t, 0, 0, 1/t}};
v[0] = {1, 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}]
PROG
(PARI) Vec((1+3*x+12*x^2+48*x^3)/(1-x-256*x^4)+O(x^44))
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Roger L. Bagula, Mar 26 2009
STATUS
approved