A134247 A007318 * triangle by rows, n-th row = (n-1) zeros followed by T(n), 1.

1, 2, 1, 3, 5, 1, 4, 12, 9, 1, 5, 22, 30, 14, 1, 6, 35, 70, 60, 20, 1, 7, 51, 135, 170, 105, 27, 1, 8, 70, 231, 385, 350, 168, 35, 1, 9, 92, 364, 756, 910, 644, 252, 44, 1, 10, 117, 540, 1344, 2016, 1890, 1092, 360, 54, 1

Offset: 0

Author

Gary W. Adamson, Oct 15 2007

Keywords

• nonn
• tabl

Comments

Row sums = A072863: (1, 3, 9, 26, 72, 192, 496, ...).

Examples

			First few rows of the triangle:
  1;
  2,  1;
  3,  5,   1;
  4, 12,   9,   1;
  5, 22,  30,  14,   1;
  6, 35,  70,  60,  20,  1;
  7, 51, 135, 170, 105, 27, 1;
  ...
		

Crossrefs

Cf. A072863, A000217.

Formula

Binomial transform of an infinite lower triangular matrix having n-th row = (n-1) zeros followed by T(n), 1, where T(n) = n-th triangular number.