A133109 Triangle read by rows, A042965 on the diagonal, 0 elsewhere.

1, 0, 3, 0, 0, 4, 0, 0, 0, 5, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17

Offset: 1

Author

Gary W. Adamson, Sep 12 2007

Keywords

• nonn
• tabl

Examples

			First few rows of the triangle:
  1;
  0, 3;
  0, 0, 4;
  0, 0, 0, 5;
  0, 0, 0, 0, 7;
  ...
		

Crossrefs

Cf. A042965, A133110 (binomial transform).

Programs

PARI

row(n) = vector(n, k, if (k==n, (4*n+1)\3)); \\ Michel Marcus, Mar 07 2022

Formula

A042965: (1, 3, 4, 5, 7, 8, 9, 11, 12, 13, ...) as the diagonal of an infinite lower triangular matrix and the rest zeros.

Extensions

More terms from Michel Marcus, Mar 07 2022