A125692 Riordan array (1-x*c(-x^2),x(1-x*c(-x^2))) where c(x) is the g.f. of A000108.

1, -1, 1, 0, -2, 1, 1, 1, -3, 1, 0, 2, 3, -4, 1, -2, -2, 2, 6, -5, 1, 0, -4, -6, 0, 10, -6, 1, 5, 5, -3, -11, -5, 15, -7, 1, 0, 10, 15, 4, -15, -14, 21, -8, 1, -14, -14, 6, 26, 19, -15, -28, 28, -9, 1, 0, -28, -42, -16, 30, 42, -7, -48, 36, -10, 1

Offset: 0

Author

Paul Barry, Nov 30 2006

Keywords

• easy
• sign
• tabl

Comments

Row sums are aerated signed Catalan numbers with g.f. c(-x^2). Inverse of A105306. First column is A105523.

Examples

			Triangle begins
1,
-1, 1,
0, -2, 1,
1, 1, -3, 1,
0, 2, 3, -4, 1,
-2, -2, 2, 6, -5, 1,
0, -4, -6, 0, 10, -6, 1
Contribution from _Paul Barry_, Apr 18 2010: (Start)
Production matrix begins
-1, 1,
-1, -1, 1,
-1, -1, -1, 1,
-1, -1, -1, -1, 1,
-1, -1, -1, -1, -1, 1,
-1, -1, -1, -1, -1, -1, 1,
-1, -1, -1, -1, -1, -1, -1, 1,
-1, -1, -1, -1, -1, -1, -1, -1, 1,
-1, -1, -1, -1, -1, -1, -1, -1, -1, 1,
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1 (End)