OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
FORMULA
G.f.: ((1-x)^2 + x*sqrt(1-4*x))/((1-x)^2*sqrt(1-4*x)). - Harvey P. Dale, Dec 10 2011
From G. C. Greubel, May 28 2024: (Start)
E.g.f.: x*exp(x) + exp(2*x)*BesselI(0, 2*x).
a(n) = (2*(2*n-1)*a(n-1) - (3*n^2 - 6*n + 2))/n. (End)
MATHEMATICA
Table[Binomial[2n, n]+n, {n, 0, 40}] (* Harvey P. Dale, Dec 10 2011 *)
PROG
(Magma) [n+(n+1)*Catalan(n): n in [0..40]]; // G. C. Greubel, May 28 2024
(SageMath) [n+binomial(2*n, n) for n in range(41)] # G. C. Greubel, May 28 2024
CROSSREFS
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Nov 09 2007
EXTENSIONS
More terms from Harvey P. Dale, Dec 10 2011
STATUS
approved