A131332 Triangle read by rows: A065941 * A097807.

1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, -1, 2, 1, 1, 3, -2, 3, 1, 2, 1, 5, -4, 5, 0, 4, 2, 1, 8, -7, 8, -2, 7, 3, 3, 1, 13, -12, 13, -6, 12, 3, 7, 3, 1, 21, -20, 21, -13, 20, 1, 14, 6, 4, 1, 34, -33, 34, -25, 33, -5, 26, 9, 11, 4, 1, 55, -54, 55, -45, 54, -18, 46, 10, 25, 10, 5, 1, 89, -88, 89, -78, 88, -43, 79, 5, 51, 19, 16, 5, 1

Offset

1,11

Comments

Row sums = Fibonacci numbers: (1, 1, 2, 3, 5, 8, ...).

Links

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

Formula

A065941 * A000012(signed by columns, + - + - ...).

Example

First few rows of the triangle are:
  1;
  0,  1;
  1,  0, 1;
  1,  0, 1,  1;
  2, -1, 2,  1, 1;
  3, -2, 3,  1, 2, 1;
  5, -4, 5,  0, 4, 2, 1;
  8, -7, 8, -2, 7, 3, 3, 1;
  ...

Crossrefs

Cf. A097807, A131333, A131334, A131335, A131336.

Sequence in context: A298917 A322530 A303364 * A059780 A075119 A224076

Adjacent sequences: A131329 A131330 A131331 * A131333 A131334 A131335

Keyword

tabl,sign

Author

Gary W. Adamson, Jun 29 2007

Extensions

a(47) = -20 corrected, name edited and more terms from Georg Fischer, Jun 05 2023

Status

approved