A133599 A097806 * A133080 * A007318.

1, 3, 1, 3, 3, 1, 3, 7, 5, 1, 3, 9, 10, 5, 1, 3, 13, 22, 18, 7, 1, 3, 15, 31, 34, 21, 7, 1, 3, 19, 51, 75, 65, 33, 9, 1, 3, 21, 64, 111, 120, 83, 36, 9, 1, 3, 25, 92, 196, 266, 238, 140, 52, 11, 1

Offset: 1

Author

Gary W. Adamson, Sep 18 2007

Keywords

• nonn
• tabl

Comments

Row sums = A133600: (1, 4, 7, 16, 28, 64, 112, ...).

Examples

			First few rows of the triangle:
  1;
  3,  1;
  3,  3,  1;
  3,  7,  5,  1;
  3,  9, 10,  5,  1;
  3, 13, 22, 18,  7,  1;
  ...
		

Crossrefs

Cf. A097806, A133080, A133600.

Programs

Maple

A133599aux := proc(n,k)
    add(A097806(n,j)*A133080(j,k),j=k..n) ;
end proc:
A133599 := proc(n,k)
    add(A133599aux(n,j)*binomial(j-1,k-1),j=k..n) ;
end proc: # R. J. Mathar, Jun 20 2015

Formula

A097806 * A133080 * A007318 as infinite lower triangular matrices, where A097806 = the pairwise operator and A133080 = an interpolation operator.