A134700 Triangle read by rows: A000012 * A051731^2.

1, 3, 1, 5, 1, 1, 8, 3, 1, 1, 10, 3, 1, 1, 1, 14, 5, 3, 1, 1, 1, 16, 5, 3, 1, 1, 1, 1, 20, 8, 3, 3, 1, 1, 1, 1, 23, 8, 5, 3, 1, 1, 1, 1, 1, 27, 10, 5, 3, 3, 1, 1, 1, 1, 1, 29, 10, 5, 3, 3, 1, 1, 1, 1, 1, 1, 35, 14, 8, 5, 3, 3, 1, 1, 1, 1, 1, 1, 37, 14, 8, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1

Offset: 1

Author

Gary W. Adamson, Nov 07 2007

Keywords

• nonn
• tabl

Comments

Left column = A006218.

Row sums = A061201: (1, 4, 7, 13, 16, 25, 28, ...).

A134699 = A127170 * A000012.

Examples

			First few rows of the triangle:
   1;
   3, 1;
   5, 1, 1;
   8, 3, 1, 1;
  10, 3, 1, 1, 1;
  14, 5, 3, 1, 1, 1;
  16, 5, 3, 1, 1, 1, 1;
  20, 8, 3, 3, 1, 1, 1, 1;
  23, 8, 5, 3, 1, 1, 1, 1, 1;
  ...
		

Crossrefs

Cf. A006218, A051731, A061201, A127170, A134699.

Programs

PARI

row(n) = my(m=matrix(n,n,i,j,!(i%j))); vector(n, k, sum(i=1, n, (m^2)[i, k])); \\ Michel Marcus, Apr 30 2025

Formula

A000012 * A051731^2 = A000012 * A127170.

Extensions

a(45) = 1, a(46) = 27 corrected and more terms from Georg Fischer, Jun 05 2023

More terms from Michel Marcus, Apr 30 2025