OFFSET
0,2
REFERENCES
J.-P. Allouche and J. Shallit, Automatic Sequences, Cambridge Univ. Press, 2003, p. 371.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
FORMULA
G.f.: (sqrt((5*x+1)/(x+1))-1)/(2*x*(x+1)).
(n+1)*a(n)=(1-6*n)*a(n-1)-5*n*a(n-2)+(-1)^n. - Vladeta Jovovic, Jul 16 2004
a(n) ~ (-1)^n * 5^(n+5/2) / (32 * sqrt(Pi) * n^(3/2)). - Vaclav Kotesovec, Mar 02 2014
MATHEMATICA
Table[(-1)^n Sum[Binomial[n+1, i+1]CatalanNumber[i], {i, 0, n}], {n, 0, 30}] (* Harvey P. Dale, Jan 26 2013 *)
CROSSREFS
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Dec 28 1999
STATUS
approved