login
A329473
Triangle T read by rows derived from the signed Pascal triangle and satisfying T = T^(-1).
0
-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
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
KEYWORD
sign,tabl
AUTHOR
Gary W. Adamson, Nov 13 2019
STATUS
approved