A143315 Triangle read by rows: T(n, k) = 2*A126988(n, k) - signum(A126988(n, k)).

1, 3, 1, 5, 0, 1, 7, 3, 0, 1, 9, 0, 0, 0, 1, 11, 5, 3, 0, 0, 1, 13, 0, 0, 0, 0, 0, 1, 15, 7, 0, 3, 0, 0, 0, 1, 17, 0, 5, 0, 0, 0, 0, 0, 1, 19, 9, 0, 0, 3, 0, 0, 0, 0, 1, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 23, 11, 7, 5, 0, 3, 0, 0, 0, 0, 0, 1, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset: 1

Author

Gary W. Adamson, Aug 06 2008

Keywords

• nonn
• tabl

Comments

Row sums = A129235: (1, 4, 6, 11, 10, 20, 14,...).

Examples

			First few rows of the triangle:
   1;
   3, 1;
   5, 0, 1;
   7, 3, 0, 1;
   9, 0, 0, 0, 1;
  11, 5, 3, 0, 0, 1;
  13, 0, 0, 0, 0, 0, 1;
  15, 7, 0, 3, 0, 0, 0, 1;
  ...
		

Crossrefs

Cf. A051731, A126988, A129235.

Formula

By columns, replace the 1's in A051731 in succession with (1, 3, 5, 7,...).

Extensions

Definition corrected and a(50) split by Georg Fischer, Jun 08 2023