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Search: id:A110271
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| A110271 |
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Inverse of Riordan array (1/(1-x)^2,x(1-x)/(1+x)), A104698. |
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+0
1
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| 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
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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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)).
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FORMULA
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Riordan array ((1-xS(-x))^2, xS(-x)) where S(x) is the g.f. of the large Schroeder numbers A006318.
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EXAMPLE
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Rows begin
1;
-2,1;
5,-4,1;
-16,15,-6,1;
60,-60,29,-8,1;
-248,256,-136,47,-10,1;
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CROSSREFS
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Adjacent sequences: A110268 A110269 A110270 this_sequence A110272 A110273 A110274
Sequence in context: A126181 A104259 A137650 this_sequence A073107 A103718 A113350
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jul 18 2005
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