OFFSET
0,5
COMMENTS
Apparently the number of Dyck n-paths with more than half of the path lying between the first and last peaks. - David Scambler, Sep 14 2012
FORMULA
Conjecture: (n+1)*a(n) +2*(1-4*n)*a(n-1) +4*(5*n-7)*a(n-2) +8*(5-2*n)*a(n-3)=0. - R. J. Mathar, Aug 10 2013
EXAMPLE
MATHEMATICA
Table[CatalanNumber[n] - If[n==0, 1, 2^(n-1)], {n, 0, 30}] (* David Scambler, Sep 14 2012 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Alford Arnold, Dec 15 2006
EXTENSIONS
More terms from David Scambler, Sep 14 2012
STATUS
approved