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Search: id:A103137
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| A103137 |
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First column of inverse of Delannoy triangle. |
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+0
5
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| 1, -1, 2, -6, 22, -90, 394, -1806, 8558, -41586, 206098, -1037718, 5293446, -27297738, 142078746, -745387038, 3937603038, -20927156706, 111818026018, -600318853926, 3236724317174, -17518619320890, 95149655201962, -518431875418926, 2832923350929742, -15521467648875090
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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First column of A103136. The positive sequence has g.f. 1+xS(x). It is the first column of the inverse of the signed Delannoy triangle which has general term T(n,k)=if(k<=n, sum{j=0..k, 2^j*C(n-k,j)C(k,j)}(-1)^(n-k),0).
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FORMULA
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G.f.: 1-xS(-x), where S(x) is the g.f. of the large Schroeder numbers A006318.
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CROSSREFS
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A minor variation of A006318.
Sequence in context: A086456 A006318 A155069 this_sequence A165546 A053617 A089449
Adjacent sequences: A103134 A103135 A103136 this_sequence A103138 A103139 A103140
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KEYWORD
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easy,sign
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jan 24 2005
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