OFFSET
0,2
REFERENCES
A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
FORMULA
-(n+1)*(8*n-7)*a(n) + 2*(8*n+1)*(2*n-1)*a(n-1) = 0. - R. J. Mathar, Dec 03 2014
G.f.: (7 - 12*x - 7*sqrt(1 - 4*x))/(2*x*sqrt(1 - 4*x)). - Ilya Gutkovskiy, Jun 13 2017
MATHEMATICA
Table[CatalanNumber[n](8n+1), {n, 0, 20}] (* Harvey P. Dale, May 20 2012 *)
PROG
(Magma)[Catalan(n)*(8*n+1):n in [0..30]]; // Vincenzo Librandi, Jan 27 2013
(Magma) R<x>:=PowerSeriesRing(Rationals(), 30); (Coefficients(R!( (7-12*x-7*Sqrt(1-4*x))/(2*x*Sqrt(1-4*x)))))// Marius A. Burtea, Jan 05 2020
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Barry E. Williams, Dec 24 1999
STATUS
approved