A110579 {a(3,n)}, where a(m,n) is as defined in sequence A110576.

1, 4, 11, 29, 87, 317, 1367, 6644, 35257, 201152, 1224225, 7906794, 53961576, 387673853, 2921972174, 23036161619, 189459483913, 1621711095618, 14416893342727, 132860397599808, 1267097654903284

Offset: 0

Author

Leroy Quet, Jul 28 2005

Keywords

• easy
• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..570

Crossrefs

Cf. A110576, A110577, A110578, A110580.

Programs

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}]; a[1, 0] := 1; a[1, n_] := a[1, n] = a[1, n - 1] + a[0, n]; a[2, 0] := 1; a[2, n_] := a[2, n] = a[2, n - 1] + a[1, n]; a[3, 0] := 1; a[3, n_] := a[3, n] = a[3, n - 1] + a[2, n];
Table[a[3, n], {n, 0, 50}] (* G. C. Greubel, Sep 01 2017 *)

Extensions

More terms from Ryan Propper, Sep 25 2005