OFFSET
0,3
COMMENTS
Equals eigensequence of triangle A100100. - Gary W. Adamson, Feb 02 2009
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..570
FORMULA
a(0, n+1) = Sum_{k=0..n} binomial(2*n-k-1, n-1)*a(0, k), with a(0,0) = 1.
EXAMPLE
a(0,n): 1, 1, 2, 7, 29
a(1,n): 1, 2, 4, 11
a(2,n): 1, 3, 7, 18
a(3,n): 1, 4, 11, 29
Since a(3,3) = 29, a(0,4) also is 29.
MATHEMATICA
a[0, 0] := 1; a[0, 1] := 1; a[0, n_] := a[0, n] = Sum[Binomial[2*n - k - 3, n - 2]*a[0, k], {k, 0, n - 1}]; Table[a[0, n], {n, 0, 50}] (* G. C. Greubel, Aug 31 2017 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Leroy Quet, Jul 28 2005
EXTENSIONS
More terms from Ryan Propper, Sep 25 2005
STATUS
approved