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Search: id:A092220
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| A092220 |
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Expansion of x(1-x)/(1+x^3). |
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+0
5
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| 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Multiplicative with a(2^e) = -1, a(3^e) = 0, a(p^e) = 1 otherwise. David W. Wilson (davidwwilson(AT)comcast.net) Jun 12, 2005.
a(n)=3a(n-1)-a(n-3)+3a(n-4). - Paul Curtz (bpcrtz(AT)free.fr), Dec 10 2007
The BINOMIAL transform generates (-1)^(n+1)*A024495(n+1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 07 2008
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FORMULA
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a(n)=2cos(pi*n/3)/3-2(-1)^n/3
Transform of the Jacobsthal numbers A001045 under the Riordan array A102587. - Paul Barry (pbarry(AT)wit.ie), Jul 14 2005
a(n)=(1/6)*{(n mod 6)-2*[(n+1) mod 6]+[(n+2) mod 6]-[(n+3) mod 6]+2*[(n+4) mod 6]-[(n+5) mod 6]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Feb 05 2008
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CROSSREFS
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Adjacent sequences: A092217 A092218 A092219 this_sequence A092221 A092222 A092223
Sequence in context: A083924 A082410 A094217 this_sequence A011655 A128834 A022928
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KEYWORD
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easy,sign,mult
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 25 2004
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