A133935 A007318 * A093178 as a diagonalized matrix.

1, 1, 1, 1, 2, 3, 1, 3, 9, 1, 1, 4, 18, 4, 5, 1, 5, 30, 10, 25, 1, 1, 6, 45, 20, 75, 6, 7, 1, 7, 63, 35, 175, 21, 49, 1, 1, 8, 84, 56, 350, 56, 196, 8, 9, 1, 9, 108, 84, 630, 126, 588, 36, 81, 1

Offset: 0

Author

Gary W. Adamson, Sep 29 2007

Keywords

• nonn
• tabl

Comments

Row sums = A133936: (1, 2, 6, 14, 32, 72, 160, ...).

Examples

			First few rows of the triangle:
  1;
  1, 1;
  1, 2,  3;
  1, 3,  9,  1;
  1, 4, 18,  4,   5;
  1, 5, 30, 10,  25,  1;
  1, 6, 45, 20,  75,  6,  7;
  1, 7, 63, 35, 175, 21, 49, 1;
  ...
		

Crossrefs

Cf. A093178, A133936.

Formula

Binomial transform of an infinite lower triangular matrix with A093178: (1, 1, 3, 1, 5, 1, 7, ...) in the main diagonal and the rest zeros.