A329473 Triangle T read by rows derived from the signed Pascal triangle and satisfying T = T^(-1).

-1, 1, 1, 1, 0, 1, 1, -1, 3, -1, 1, -2, 6, -4, 1, 1, -3, 10, -10, 5, -1, 1, -4, 15, -20, 15, -6, 1, 1, -5, 21, -35, 35, -21, 7, -1, 1, -6, 28, -56, 70, -56, 28, -8, 1, 1, -7, 36, -84, 126, -126, 84, -36, 9, -1

Offset

0,9

Links

Table of n, a(n) for n=0..54.

Formula

In the signed version of Pascal's triangle, add 2 to each term in the next to left column. The first row in Pascal's triangle is replaced by -1.

Example

(1, -3, 3, -1) becomes (1, -1, 3, -1) by adding 2 to -3.
First few rows of the triangle are:
  -1;
   1,   1;
   1,   0,   1;
   1,  -1,   3,  -1;
   1,  -2,   6,  -4,   1;
   1,  -3,  10, -10,   5,  -1;
   1,  -4,  15, -20,  15,  -6,   1;
   ...

Crossrefs

Cf. A007318.

Sequence in context: A318442 A086639 A204165 * A200702 A331599 A328901

Adjacent sequences: A329470 A329471 A329472 * A329474 A329475 A329476

Keyword

sign,tabl

Author

Gary W. Adamson, Nov 13 2019

Status

approved