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A014017
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Inverse of 8th cyclotomic polynomial.
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4
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1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| John M. Campbell, An Integral Representation of Kekule' Numbers, and Double Integrals Related to Smarandache Sequences, Arxiv preprint arXiv:1105.3399, 2011.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,-1).
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FORMULA
| a(4n) = (-1)^n, else a(n) = 0.
a(n)=(1/8)*{-(n mod 8)-[(n+3) mod 8]+[(n+4) mod 8]+[(n+7) mod 8]}, Paolo P. Lava, Mar 10 2011.
G.f. 1/ ( 1+x^4 ). - R. J. Mathar, Mar 11 2011
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MAPLE
| with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80);
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CROSSREFS
| Sequence in context: A015153 A015985 A015777 * A121262 A102243 A173859
Adjacent sequences: A014014 A014015 A014016 * A014018 A014019 A014020
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KEYWORD
| sign
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AUTHOR
| Simon Plouffe (simon.plouffe(AT)gmail.com)
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