A134395 A007318 * A077028.

1, 2, 1, 4, 4, 1, 8, 12, 6, 1, 16, 32, 23, 8, 1, 32, 80, 72, 37, 10, 1, 64, 192, 201, 132, 54, 12, 1, 128, 448, 522, 405, 216, 74, 14, 1, 256, 1024, 1291, 1128, 723, 328, 97, 16, 1, 512, 2304, 3084, 2941, 2154, 1191, 472, 123, 18, 1, 1024, 5120, 7181, 7316, 5920, 3788, 1850, 652, 152, 20, 1

Offset: 0

Author

Gary W. Adamson, Oct 23 2007

Keywords

• nonn
• tabl

Comments

Row sums = A134396: (1, 3, 9, 27, 80, 232, 656, ...).

Examples

			First few rows of the triangle:
   1;
   2,  1;
   4,  4,  1;
   8, 12,  6,  1;
  16, 32, 23,  8,  1;
  32, 80, 72, 37, 10,  1;
  ...
		

Crossrefs

Cf. A077028, A134396.

Programs

Maple

A007318 := proc(n,k) binomial(n,k) ; end: A077028 := proc(i,j) if j <= i then (i-j)*(j-1)+1 ; else 0 ; fi ; end: A134395 := proc(n,m) add(A007318(n,k)*A077028(k+1,m+1),k=0..n) ; end: for n from 0 to 15 do for m from 0 to n do printf("%d,",A134395(n,m)) ; od: od: # R. J. Mathar, Jun 08 2008

Formula

A007318 * A077028 as infinite lower triangular matrices.

Extensions

Corrected and extended by R. J. Mathar, Jun 08 2008