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

1,2

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

Links

Table of n, a(n) for n=1..66.

Formula

A007318 * A130196 as infinite lower triangular matrices.

Example

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.

Sequence in context: A105728 A120095 A327631 * A106513 A054446 A164981

Adjacent sequences: A130194 A130195 A130196 * A130198 A130199 A130200

Keyword

nonn,tabl

Author

Gary W. Adamson, May 16 2007

Extensions

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

Status

approved