OFFSET
0,6
LINKS
Index entries for linear recurrences with constant coefficients, signature (2,0,0,-1,2).
FORMULA
a(n+4) = 2^n - a(n).
a(n) = 2*a(n-1) - a(n-4) + 2*a(n-5).
a(4*n+4) = 16*a(4*n) + (-1)^n.
G.f.: -x^4 / ((2*x-1)*(x^4+1)). - R. J. Mathar, Jun 23 2011
a(n) = (2^n - (-1)^floor(n/4)*A133145(n))/17. - R. J. Mathar, Jun 23 2011
MAPLE
MATHEMATICA
LinearRecurrence[{2, 0, 0, -1, 2}, {0, 0, 0, 0, 1}, 40] (* Harvey P. Dale, Apr 19 2013 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Paul Curtz, Jun 03 2011
STATUS
approved