OFFSET
1,2
LINKS
Clark Kimberling, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (4,-5,1,2,-1).
FORMULA
a(n) = 4*a(n-1) - 5*a(n-2) + a(n-3) + 2*a(n-4) - a(n-5).
G.f.: f(x)/g(x), where f(x) = x*(1 + 4*x + 3*x^2) and g(x) = (1 - x - x^2)*(1 - x)^3.
a(n) = 6*Fibonacci(n+6) - Lucas(n+5) - 2*n*(2*n+9) - 37. - Ehren Metcalfe, Jul 10 2019
MATHEMATICA
(See A213774.)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 21 2012
STATUS
approved