A131257 Triangle read by rows: A052509 * A097807 as infinite lower triangular matrices.

1, 0, 1, 0, 1, 1, -1, 2, 1, 1, 0, 1, 3, 1, 1, 0, 1, 4, 3, 1, 1, 1, 0, 6, 5, 3, 1, 1, 0, 1, 6, 10, 5, 3, 1, 1, 0, 1, 7, 15, 11, 5, 3, 1, 1, -1, 2, 7, 22, 20, 11, 5, 3, 1, 1, 0, 1, 9, 28, 36, 21, 11, 5, 3, 1, 1, 0, 1, 10, 36, 57, 42, 21, 11, 5, 3, 1, 1, 1, 0, 12, 44, 86, 77, 43, 21, 11, 5, 3, 1, 1

Offset

0,8

Comments

Row sums give A099517.

Links

Table of n, a(n) for n=0..90.

Formula

A052509 * A000012 (signed, + - + - by columns).

Example

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

Crossrefs

Cf. A099517, A052509, A097807, A131256.

Sequence in context: A322508 A194438 A144409 * A105806 A129501 A129353

Adjacent sequences: A131254 A131255 A131256 * A131258 A131259 A131260

Keyword

tabl,sign

Author

Gary W. Adamson, Jun 23 2007

Extensions

a(48) = 22 corrected and more terms from Georg Fischer, Jun 05 2023

Status

approved