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Search: id:A094754
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| A094754 |
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Middle coefficient of cyclotomic polynomial Phi_n(x). |
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+0
3
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| 0, 0, 1, 0, 1, -1, 1, 0, 1, 1, 1, -1, 1, -1, -1, 0, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 0, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 0, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(n) = 0 if n is a power of 2, otherwise a(n) is odd.
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REFERENCES
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G. P. Dresden, On the middle coefficient of a cyclotomic polynomial, Amer. Math. Monthly, 111 (No. 6, 2004), 531-533.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
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MAPLE
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with(numtheory); t1:=[0, 0]; for n from 3 to 120 do t2:=cyclotomic(n, x); t3:=degree(t2, x); t1:=[op(t1), coeff(t2, x, floor(t3/2))]; od: t1;
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CROSSREFS
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Cf. A095877 (n such that the middle coefficient of Phi_n(x) has a value not obtained for smaller n).
Sequence in context: A092436 A011656 A043545 this_sequence A074290 A091225 A132380
Adjacent sequences: A094751 A094752 A094753 this_sequence A094755 A094756 A094757
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KEYWORD
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sign
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AUTHOR
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njas, Jun 10 2004
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