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

0,5

Comments

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

Links

Table of n, a(n) for n=0..65.

Example

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)

Crossrefs

Sequence in context: A294880 A212219 A073266 * A128258 A104967 A098495

Adjacent sequences: A125689 A125690 A125691 * A125693 A125694 A125695

Keyword

easy,sign,tabl

Author

Paul Barry, Nov 30 2006

Status

approved