OFFSET
0,4
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 8, 0, -4).
FORMULA
G.f.: (-6*x^3 - 7*x^2 + x + 1)/(4*x^4 - 8*x^2 + 1)
a(n + 4) = 8*a(n + 2) - 4*a(n). - Richard Choulet, Dec 06 2008
a(n) = (1/24 * 3^(1/2)) * (1 + sqrt(3))^n - (1/24 * 3^(1/2)) * (1 - sqrt(3))^n + (1/2 - 7/24 * 3^(1/2)) * (-(1 + sqrt(3)))^n + (1/2 + 7/24 * 3^(1/2))*(-(1 - sqrt(3)))^n. - Richard Choulet, Dec 06 2008
MATHEMATICA
CoefficientList[Series[(-6x^3-7x^2+x+1)/(4x^4-8x^2+1), {x, 0, 40}], x] (* Harvey P. Dale, Mar 04 2011 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Feb 22 2003
STATUS
approved