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Search: id:A115203
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| 1, 11, 93, 723, 5437, 40323, 297469, 2191875, 16164861, 119443459, 884719613, 6570430467, 48927031293, 365303660547, 2734459846653, 20518848036867, 154328140087293, 1163305103130627, 8787088644243453
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OFFSET
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0,2
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COMMENT
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Also fifth diagonal of triangle A115195, called Y(1,2), divided by 16.
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FORMULA
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a(n)= A115195(4+n,1+n)/16, n>=0.
G.f.: (-1 + 5*x -2*x^2 + (1- 7*x + 8*x^2)*c(2*x))/(8*(1+x)*x^4) with the o.g.f. c(x) of A000108 (Catalan).
G.f. is also: ((1 + 2*x*c(2*x))*(2*x*c(2*x))^5)/(32*(1+x)*x^5).
a(n)= A115193(5+n,5), n>=0.
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CROSSREFS
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Adjacent sequences: A115200 A115201 A115202 this_sequence A115204 A115205 A115206
Sequence in context: A025507 A081575 A016150 this_sequence A016203 A055286 A081041
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KEYWORD
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nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 03 2006
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