OFFSET
0,2
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (6,-11,6,-1).
FORMULA
G.f.: (1-x)*(1 + 7*x + x^2)/(1 - 3*x + x^2)^2.
a(n) = (2*n+1)*A000032(2*n+1).
a(n) = A146005(2*n+1).
a(n) = 6*a(n-1) - 11*a(n-2) + 6*a(n-3) - a(n-4). - Wesley Ivan Hurt, Apr 19 2021
MATHEMATICA
Table[(2n+1) LucasL[2n+1], {n, 0, 30}] (* Wesley Ivan Hurt, Apr 19 2021 *)
PROG
(Magma) [(2*n+1)*Lucas(2*n+1) : n in [0..40]]; // Wesley Ivan Hurt, Apr 19 2021
(PARI) a(n) = (2*n+1)*(fibonacci(2*n+2)+fibonacci(2*n)) \\ Andrew Howroyd, Jan 01 2024
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Harry Richman, Apr 16 2021
STATUS
approved