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Search: id:A102899
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| A102899 |
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Ceiling(n/3)^2-floor(n/3)^2. |
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+0
2
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| 0, 1, 1, 0, 3, 3, 0, 5, 5, 0, 7, 7, 0, 9, 9, 0, 11, 11, 0, 13, 13, 0, 15, 15, 0, 17, 17, 0, 19, 19, 0, 21, 21, 0, 23, 23, 0, 25, 25, 0, 27, 27, 0, 29, 29, 0, 31, 31, 0, 33, 33, 0, 35, 35, 0, 37, 37, 0, 39, 39, 0, 41, 41, 0, 43, 43, 0, 45, 45, 0, 47, 47, 0, 49, 49, 0, 51, 51, 0, 53, 53, 0
(list; graph; listen)
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OFFSET
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0,5
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REFERENCES
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Maria Paola Bonacina and Nachum Dershowitz, Canonical Inference for Implicational Systems, in Automated Reasoning, Lecture Notes in Computer Science, Volume 5195/2008, Springer-Verlag.
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FORMULA
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G.f.: x(1+x+x^3+x^4)/(1-2x^3+x^6); a(n)=A011655(n)*A004396(n)=floor((2n+1)/3)*(2/3)*(1-cos(2Pi*n/3)).
a(n)=|A120691(n+1)| for n>0 ; a(n)=([n/3]*2+1)*dist(n,3Z). - M. F. Hasler (maximilian.hasler(AT)gmail.com), Dec 13 2007
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PROGRAM
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(PARI) A102899(n)=(n\3*2+1)*(0<n%3) - M. F. Hasler (maximilian.hasler(AT)gmail.com), Dec 13 2007
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CROSSREFS
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Cf. A120691, A003417.
Sequence in context: A116580 A096439 A128046 this_sequence A072689 A021972 A117234
Adjacent sequences: A102896 A102897 A102898 this_sequence A102900 A102901 A102902
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jan 17 2005
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