The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A160338 Height (maximum absolute value of coefficients) of the n-th cyclotomic polynomial. 6
 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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,105 COMMENTS Different from A137979: first time these sequence disagree is at n=14235 with a(14235)=2 and A137979(14235)=3. LINKS Max Alekseyev, Table of n, a(n) for n = 1..100000 Alexandre Kosyak, Pieter Moree, Efthymios Sofos and Bin Zhang, Cyclotomic polynomials with prescribed height and prime number theory, arXiv:1910.01039 [math.NT], 2019. Emma Lehmer, On the magnitude of the coefficients of the cyclotomic polynomial, Bull. Amer. Math. Soc. 42 (1936), 389-392. H. Maier, The coefficients of cyclotomic polynomials, Analytic number theory, Vol. 2 (1995), pp. 633-639, Progr. Math., 139. Lola Thompson, Heights of divisors of x^n-1, arXiv:1111.5404 [math.NT], 2011. R. C. Vaughan, Bounds for the coefficients of cyclotomic polynomials, Michigan Math. J. 21 (1974), 289-295 (1975). EXAMPLE a(4) = 1 because the 4th cyclotomic polynomial x^2 + 1 has height 1. MATHEMATICA Table[Max@Abs@CoefficientList[Cyclotomic[n, x], x], {n, 1, 105}] (* from Jean-François Alcover, Apr 02 2011 *) PROG (PARI) a(n) = vecmax(abs(Vec(polcyclo(n)))) CROSSREFS Cf. A160339 (records), A160340 (indices of records), A160341. Sequence in context: A112316 A112802 A137979 * A216579 A229878 A235145 Adjacent sequences:  A160335 A160336 A160337 * A160339 A160340 A160341 KEYWORD nonn,nice AUTHOR Max Alekseyev, May 13 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 1 03:58 EST 2020. Contains 338833 sequences. (Running on oeis4.)