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A130815
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Period 6: repeat 1,5,4,-1,-5,-4.
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4
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1, 5, 4, -1, -5, -4, 1, 5, 4, -1, -5, -4, 1, 5, 4, -1, -5, -4, 1, 5, 4, -1, -5, -4, 1, 5, 4, -1, -5, -4, 1, 5, 4, -1, -5, -4, 1, 5, 4, -1, -5, -4, 1, 5, 4, -1, -5, -4, 1, 5, 4, -1, -5, -4, 1, 5, 4, -1, -5, -4, 1, 5, 4, -1, -5, -4, 1, 5, 4, -1, -5, -4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients, signature (1,-1).
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FORMULA
| Also binomial transform of 1 4 -5 .
a(n)=(1/6)*{-5*(n mod 6)-[(n+1) mod 6]+4*[(n+2) mod 6]+5*[(n+3) mod 6]+[(n+4) mod 6]-4*[(n+5) mod 6]}, with n>=0. - Paolo P. Lava (paoloplava(AT)gmail.com), Aug 28 2007
G.f.: (1+4x)/(1-x+x^2). a(n)= A010892(n)+4*A010892(n-1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 30 2008]
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PROG
| (PARI) a(n)=[1, 5, 4, -1, -5, -4][n%6+1] \\ Charles R Greathouse IV, Jun 02 2011
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CROSSREFS
| Sequence in context: A087707 A198352 A113011 * A084129 A011503 A195297
Adjacent sequences: A130812 A130813 A130814 * A130816 A130817 A130818
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KEYWORD
| sign,easy,less
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Jul 16 2007
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Sep 15 2007
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