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

1,3

Links

Table of n, a(n) for n=1..91.

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.

Example

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

Prog

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

Crossrefs

Cf. A042965, A133110 (binomial transform).

Sequence in context: A021773 A244126 A378039 * A130208 A363155 A364084

Adjacent sequences: A133106 A133107 A133108 * A133110 A133111 A133112

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 12 2007

Extensions

More terms from Michel Marcus, Mar 07 2022

Status

approved