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Search: id:A050511
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| A050511 |
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a(n) = (-1)^n * Sum_{i=0..n} binomial(n+1,i+1)*Catalan(i). |
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+0
2
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| 1, -3, 8, -23, 74, -262, 993, -3943, 16178, -68000, 291191, -1265618, 5568263, -24749363, 110961248, -501209303, 2278704938, -10419244888, 47882934663, -221047167628, 1024586641973, -4766517165713, 22248226873538, -104160733650738, 489007907489239
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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J.-P. Allouche and J. Shallit, Automatic Sequences, Cambridge Univ. Press, 2003, p. 371.
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FORMULA
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G.f.: (sqrt((5*x+1)/(x+1))-1)/(2*x*(x+1)).
(n+1)*a(n)=(1-6*n)*a(n-1)-5*n*a(n-2)+(-1)^n. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 16 2004
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CROSSREFS
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Column 1 of A091698.
Adjacent sequences: A050508 A050509 A050510 this_sequence A050512 A050513 A050514
Sequence in context: A047857 A101495 A134758 this_sequence A099265 A099266 A024716
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KEYWORD
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sign
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AUTHOR
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njas, Dec 28 1999
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