OFFSET
3,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (3,-3,1,1,-3,3,-1).
FORMULA
a(n) = - 0.125 - 0.125*( - 1)^n - 0.25*cos(n*Pi/2) + (n + 2)*(n + 3)*(n + 13)/12 [From Richard Choulet, Dec 13 2008]
a(n) = (n + 2)*(n + 3)*(n + 13)/12 - 0.125 - 0.125*( - 1)^n - 0.25*cos(n*Pi/2) [From Richard Choulet, Dec 13 2008]
G.f.: x^3*( 6-4*x+x^2+x^3+6*x^5-2*x^6-6*x^4 ) / ( (1+x)*(x^2+1)*(x-1)^4 ). - R. J. Mathar, Jun 22 2013
MATHEMATICA
LinearRecurrence[{3, -3, 1, 1, -3, 3, -1}, {6, 14, 25, 40, 59, 84, 114}, 60] (* Harvey P. Dale, Mar 27 2013 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved