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 A086765 Number of positive coefficients in n-th cyclotomic polynomial. 5
 1, 2, 3, 2, 5, 2, 7, 2, 3, 3, 11, 2, 13, 4, 4, 2, 17, 2, 19, 3, 5, 6, 23, 2, 5, 7, 3, 4, 29, 4, 31, 2, 8, 9, 9, 2, 37, 10, 9, 3, 41, 5, 43, 6, 4, 12, 47, 2, 7, 3, 12, 7, 53, 2, 9, 4, 13, 15, 59, 4, 61, 16, 5, 2, 16, 8, 67, 9, 16, 9, 71, 2, 73, 19, 4, 10, 16, 9, 79, 3, 3, 21, 83, 5, 21, 22, 20, 6 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES See A051664 LINKS T. D. Noe, Table of n, a(n) for n=1..1000 FORMULA If n = p^m is a prime power then a(n) = p. EXAMPLE The 1st cyclotomic polynomial is -1+1*x, which has 1 positive coefficient. The 2nd cyclotomic polynomial is 1+1*x, which has 2 positive coefficients. The 4th cyclotomic polynomial s 1+1*x^2, which has 2 positive coefficients. MATHEMATICA Table[Count[CoefficientList[Cyclotomic[n, x], x], _?(#>0&)], {n, 0, 100}] CROSSREFS Cf. A007947. Cf. A051664 (number of nonzero terms in n-th cyclotomic polynomial). Sequence in context: A273288 A080210 A126594 * A079868 A280697 A088444 Adjacent sequences:  A086762 A086763 A086764 * A086766 A086767 A086768 KEYWORD nonn AUTHOR Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 02 2003 EXTENSIONS More terms from T. D. Noe, Aug 08 2003 STATUS approved

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Last modified January 29 08:11 EST 2020. Contains 331337 sequences. (Running on oeis4.)