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

1,2

Comments

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

Links

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

Formula

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

Example

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.

Sequence in context: A143677 A249150 A143467 * A237588 A235796 A120444

Adjacent sequences: A143312 A143313 A143314 * A143316 A143317 A143318

Keyword

nonn,tabl

Author

Gary W. Adamson, Aug 06 2008

Extensions

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

Status

approved