The On-Line Encyclopedia of Integer Sequences (OEIS)

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A063699

Positions of negative coefficients in cyclotomic polynomial Phi_n(x), A063698 in binary.
(history; published version)

#9 by Susanna Cuyler at Tue Apr 30 08:24:50 EDT 2019

STATUS

proposed

approved

#8 by Hugo Pfoertner at Tue Apr 30 07:57:54 EDT 2019

STATUS

editing

proposed

#7 by Hugo Pfoertner at Tue Apr 30 07:57:34 EDT 2019

KEYWORD

nonn,base

STATUS

approved

editing

#6 by Charles R Greathouse IV at Thu May 01 02:48:24 EDT 2014

AUTHOR

_Antti Karttunen _, Aug 03 2001

Discussion

Thu May 01

02:48

OEIS Server: https://oeis.org/edit/global/2210

#5 by Russ Cox at Sun Jul 10 18:44:17 EDT 2011

LINKS

<a href="/Sindx_index/Cy.html#CyclotomicPolynomialsCoefficients">Index entries for cyclotomic polynomials, positions of coefficients</a>

Discussion

Sun Jul 10

18:44

OEIS Server: https://oeis.org/edit/global/33

#4 by N. J. A. Sloane at Thu Nov 11 07:34:06 EST 2010

LINKS

<a href="/Sindx_Cy.html#CyclotomicPolynomialsCoefficients">Index entries for cyclotomic polynomials, positions of coefficients</a>

KEYWORD

nonn,new

nonn

#3 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

LINKS

<a href="http://www.research.att.com/~njas/sequences/Sindx_Cy.html#CyclotomicPolynomialsCoefficients">Index entries for cyclotomic polynomials, positions of coefficients</a>

KEYWORD

nonn,new

nonn

#2 by N. J. A. Sloane at Thu Feb 19 03:00:00 EST 2004

MAPLE

map(convert, A063698, binary);

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

Positions of negative coefficients in cyclotomic polynomial Phi_n(x), A063698 in binary.

DATA

0, 1, 0, 0, 0, 0, 10, 0, 0, 0, 1010, 0, 100, 0, 101010, 10010010, 0, 0, 1000, 0, 1000100, 100100010010, 1010101010, 0, 10000, 0, 101010101010, 0, 10001000100, 0, 111000, 0, 0, 10010010010010010010, 1010101010101010, 100001010010100101000010

OFFSET

0,7

LINKS

<a href="http://www.research.att.com/~njas/sequences/Sindx_Cy.html#CyclotomicPolynomialsCoefficients">Index entries for cyclotomic polynomials, positions of coefficients</a>

EXAMPLE

E.g. Phi_15(x) = x^8 - x^7 + x^5 - x^4 + x^3 - x + 1, thus the 1-bits of a(15) are at positions 1,4 and 7, thus we get a(15) = 10010010

MAPLE

map(convert, A063698, binary);

CROSSREFS

Cf. A063697, A063671, A063672.

KEYWORD

nonn

AUTHOR

Antti Karttunen Aug 03 2001

STATUS

approved