A130197 Binomial transform of A130196.

1, 2, 1, 5, 3, 1, 12, 8, 4, 1, 27, 20, 12, 5, 1, 58, 47, 32, 17, 6, 1, 121, 105, 79, 49, 23, 7, 1, 248, 226, 184, 128, 72, 30, 8, 1, 503, 474, 410, 312, 200, 102, 38, 9, 1, 1014, 977, 884, 722, 512, 302, 140, 47, 10, 1, 2037, 1991, 1861, 1606, 1234, 814, 442, 187, 57, 11, 1

Offset: 1

Author

Gary W. Adamson, May 16 2007

Keywords

• nonn
• tabl

Comments

Row sums = A002064, the Cullen numbers: (1, 3, 9, 25, 65, 161, 385, ...).

Left border = A000325, (2^n - n) starting (1, 2, 5, 12, 27, 58, ...).

Equals A129689 with first column removed. - Georg Fischer, Jul 25 2023

Examples

			First few rows of the triangle:
    1;
    2,   1;
    5,   3,  1;
   12,   8,  4,  1;
   27,  20, 12,  5,  1;
   58,  47, 32, 17,  6, 1;
  121, 105, 79, 49, 23, 7, 1;
  ...
		

Crossrefs

Cf. A000325, A002064, A007318, A129689, A130196.

Formula

A007318 * A130196 as infinite lower triangular matrices.

Extensions

a(32) corrected and more terms from Georg Fischer, Jul 25 2023