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Search: id:A138003
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| A138003 |
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Binomial transform of 1, 1, 0, -1, -1 (periodically continued). |
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+0
4
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| 1, 2, 3, 3, 0, -8, -21, -34, -34, 0, 89, 233, 377, 377, 0, -987, -2584, -4181, -4181, 0, 10946, 28657, 46368, 46368, 0, -121393, -317811, -514229, -514229, 0, 1346269, 3524578, 5702887, 5702887, 0, -14930352, -39088169, -63245986, -63245986
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Shares many elements with A103311, as already indicated by the similarity of the two generating functions. First differences are essentially in A105371. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 02 2008
The longer of the two recurrences ensures that the sequence (like A133476) equals its 5th differences. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 02 2008
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FORMULA
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O.g.f.:(x^2-x+1)/(x^4-2*x^3+4*x^2-3*x+1). a(n)=5a(n-1)-10a(n-2)+10a(n-3)-5a(n-4)+2a(n-5). a(n)=3a(n-1)-4a(n-2)+2a(n-3)-a(n-4). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 02 2008
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CROSSREFS
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Cf. A129929.
Sequence in context: A091408 A106242 A121474 this_sequence A057682 A124841 A085355
Adjacent sequences: A138000 A138001 A138002 this_sequence A138004 A138005 A138006
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KEYWORD
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sign
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), May 01 2008
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 02 2008
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