OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
FORMULA
G.f.: (1 + 3*x)/sqrt(1-4*x). - Vladeta Jovovic, Jan 08 2004
a(n) = (n+1)*(7*n-2)*A000108(n)/(2*(2*n-1)). - G. C. Greubel, Jan 05 2024
MATHEMATICA
Table[(n+1)*(7*n-2)*CatalanNumber[n]/(2*(2*n-1)), {n, 0, 40}] (* G. C. Greubel, Jan 05 2024 *)
PROG
(Magma) [(n+1)*(7*n-2)*Catalan(n)/(2*(2*n-1)): n in [0..40]]; // G. C. Greubel, Jan 05 2024
(SageMath) [(7*n-2)*binomial(2*n, n)/(2*(2*n-1)) for n in range(41)] # G. C. Greubel, Jan 05 2024
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from James A. Sellers
STATUS
approved