OFFSET
0,2
LINKS
Reinhard Zumkeller, Table of n, a(n) for n = 0..500
Doron Zeilbeger, An Enquiry Concerning Human (and Computer!) [Mathematical] Understanding, (2007); page 10.
Index entries for linear recurrences with constant coefficients, signature (15,-25).
FORMULA
G.f.: 5*x/(25*x^2-15*x+1). - Colin Barker, Dec 03 2012
E.g.f.: 2*exp(15*x/2)*sinh(5*sqrt(5)*x/2)/sqrt(5). - Stefano Spezia, Oct 19 2023
MATHEMATICA
Table[Sum[Binomial[2n, k]Fibonacci[2k], {k, 2n}], {n, 0, 20}] (* Harvey P. Dale, Aug 26 2017 *)
PROG
(Haskell)
a219462 = sum . zipWith (*) a001906_list . a034870_row
(PARI) a(n) = sum(k = 1, 2*n, binomial(2*n, k) * fibonacci(2*k)); \\ Michel Marcus, Jan 26 2022
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Reinhard Zumkeller, Nov 20 2012
STATUS
approved