A359979 Irregular table T(n,k), n >= 0 and k >= 0, read by rows with T(n + 3*k,k) = A008619(n).

1, 1, 2, 2, 1, 3, 1, 3, 2, 4, 2, 1, 4, 3, 1, 5, 3, 2, 5, 4, 2, 1, 6, 4, 3, 1, 6, 4, 3, 2, 7, 5, 4, 2, 1, 7, 6, 4, 3, 1, 8, 6, 5, 3, 2, 8, 7, 5, 4, 2, 1, 9, 7, 6, 4, 3, 1, 9, 8, 6, 5, 3, 2, 10, 8, 7, 5, 4, 2, 1, 10, 9, 7, 6, 4, 3, 1, 11, 9, 8, 6, 5, 3, 2

Offset: 0

Author

Philippe Deléham, Jan 20 2023

Keywords

• nonn
• tabf

Comments

A008620(n) is the length of the n-th row.

Examples

			Table: n >= 0, k >= 0.
  1;
  1;
  2;
  2, 1;
  3, 1;
  3, 2;
  4, 2, 1;
  4, 3, 1;
  5, 3, 2;
  5, 4, 2, 1;
  6, 4, 3, 1;
  6, 5, 3, 2;
  7, 5, 4, 2, 1;
  7, 6, 4, 3, 1;
  8, 6, 5, 3, 2;
  8, 7, 5, 4, 2, 1;
  9, 7, 6, 4, 3, 1;
  9, 8, 6, 5, 3, 2;
  ....
		

Crossrefs

Cf. A001399, A008619, A008620, A008642, A008805.

Formula

Sum_{k >= 0} T(n,k) = A001399(n).