A110271 Inverse of Riordan array (1/(1-x)^2,x(1-x)/(1+x)), A104698.

1, -2, 1, 5, -4, 1, -16, 15, -6, 1, 60, -60, 29, -8, 1, -248, 256, -136, 47, -10, 1, 1092, -1148, 644, -252, 69, -12, 1, -5024, 5344, -3104, 1312, -416, 95, -14, 1, 23868, -25596, 15228, -6780, 2364, -636, 125, -16, 1, -116200, 125360, -75896, 35072, -13064, 3920, -920, 159, -18, 1, 576708, -625020, 383460

Offset

0,2

Comments

Product of the Riordan array (1-xS(-x),xS(-x)) (inverse of Delannoy triangle) and the Riordan array (1-x,x) (first difference matrix). Row sums are A103137. Diagonal sums are (-1)^n*A103137(n+1) with g.f. (1-xS(-x))^2/(1-x^2S(-x)).

Links

Table of n, a(n) for n=0..57.

Formula

Riordan array ((1-xS(-x))^2, xS(-x)) where S(x) is the g.f. of the large Schroeder numbers A006318.

Example

Rows begin
1;
-2,1;
5,-4,1;
-16,15,-6,1;
60,-60,29,-8,1;
-248,256,-136,47,-10,1;

Crossrefs

Sequence in context: A137650 A363732 A171515 * A073107 A248669 A103718

Adjacent sequences: A110268 A110269 A110270 * A110272 A110273 A110274

Keyword

easy,sign,tabl

Author

Paul Barry, Jul 18 2005

Status

approved