A130026 Triangle (n,k) by columns, arithmetic sequences interspersed with k zeros.

1, 2, 1, 3, 0, 1, 4, 3, 0, 1, 5, 0, 0, 0, 1, 6, 5, 4, 0, 0, 1, 7, 0, 0, 0, 0, 0, 1, 8, 7, 0, 5, 0, 0, 0, 1, 9, 0, 7, 0, 0, 0, 0, 0, 1, 10, 9, 0, 0, 6, 0, 0, 0, 0, 1

Offset

0,2

Comments

Row sums = A081307: (1, 3, 4, 8, 6, 16, 8, 21, 17, ...).

Links

Table of n, a(n) for n=0..54.

Formula

Arithmetic sequences by columns, (1,2,3,...); (1,3,5,...); (1,4,7,...); interspersed with k zeros, k=0,1,2,...

Example

First few rows of the triangle:
  1;
  2, 1;
  3, 0, 1;
  4, 3, 0, 1;
  5, 0, 0, 0, 1;
  6, 5, 4, 0, 0, 1;
  7, 0, 0, 0, 0, 0, 1;
  ...

Crossrefs

Cf. A081307, A130027.

Sequence in context: A280499 A347351 A355342 * A113287 A195665 A096798

Adjacent sequences: A130023 A130024 A130025 * A130027 A130028 A130029

Keyword

nonn,tabl

Author

Gary W. Adamson, May 02 2007

Status

approved