A134248 M * A007318, M = a triangle by rows, n-th row = (n-1) zeros followed by T(n), 1.

1, 2, 1, 4, 5, 1, 7, 15, 9, 1, 11, 34, 36, 14, 1, 16, 65, 100, 70, 20, 1, 22, 111, 225, 230, 120, 27, 129, 175, 441, 595, 455, 189, 35, 1, 37, 260, 784, 1316, 1330, 812, 280, 44, 1, 46, 369, 1296, 2604, 3276, 2646, 1344, 396, 54, 1

Offset: 0

Author

Gary W. Adamson, Oct 15 2007

Keywords

• nonn
• tabl

Comments

Row sums = A104270: (1, 3, 10, 32, 96, 172, ...).

Left column = A000124.

Examples

			First few rows of the triangle:
   1;
   2,  1;
   4,  5,   1;
   7, 15,   9,  1;
  11, 34,  36, 14,  1;
  16, 65, 100, 70, 20, 1;
  ...
		

Crossrefs

Cf. A104270, A000124, A000217.

Formula

M * A007318, where M = an infinite lower triangular matrix with rows: n-th row = (n-1) zeros followed by T(n), 1; T(n) = n-th triangular number. M = an infinite lower triangular matrix with (1,1,1,...) in the main diagonal and the triangular series in the subdiagonal.