The On-Line Encyclopedia of Integer Sequences (OEIS)

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Maximum of the absolute values of the coefficients of P(n,x) where P(n,x) = 4^(n-1)*Product_{k=0..n} (x - cos(k*Pi/n)^2).
(history; published version)

#8 by N. J. A. Sloane at Thu Jan 07 21:13:38 EST 2021

STATUS

proposed

approved

#7 by Jon E. Schoenfield at Thu Jan 07 21:05:11 EST 2021

STATUS

editing

proposed

#6 by Jon E. Schoenfield at Thu Jan 07 21:04:58 EST 2021

NAME

Maximum of the absolute value values of coefficient the coefficients of P(n,x) where P(n,x) = 4^(n-1)*prod(Product_{k=0,..n,} (x - cos(kPik*Pi/n)^2).

EXAMPLE

p(3,x) = 16*x^4 - 40*x^3 + 33*x^2 -10*x + 1 , hence a(3)=40.

STATUS

approved

editing

Discussion

Thu Jan 07

21:05

Jon E. Schoenfield: Is this edit to the Name good?  Bad?  Indifferent?

#5 by Russ Cox at Fri Mar 30 18:39:10 EDT 2012

AUTHOR

_Benoit Cloitre (benoit7848c(AT)orange.fr), _, Oct 22 2002

Discussion

Fri Mar 30

18:39

OEIS Server: https://oeis.org/edit/global/216

#4 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

KEYWORD

nonn,new

nonn

AUTHOR

Benoit Cloitre (abmtbenoit7848c(AT)wanadooorange.fr), Oct 22 2002

#3 by N. J. A. Sloane at Wed Sep 21 03:00:00 EDT 2005

KEYWORD

nonn,new

nonn

AUTHOR

Benoit Cloitre (abcloitreabmt(AT)modulonetwanadoo.fr), Oct 22 2002

#2 by N. J. A. Sloane at Tue Jul 19 03:00:00 EDT 2005

KEYWORD

nonn,new

nonn

AUTHOR

Benoit Cloitre (abcloitre(AT)wanadoomodulonet.fr), Oct 22 2002

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

NAME

Maximum absolute value of coefficient of P(n,x) where P(n,x)=4^(n-1)*prod(k=0,n,x-cos(kPi/n)^2).

DATA

2, 8, 40, 208, 1200, 6528, 34048, 196608, 1112064, 6062080, 33701888, 194871296, 1091371008, 5950930944, 34801188864, 198474465280, 1105056497664, 6298980581376, 36394596564992, 205774030635008, 1151529050439680

OFFSET

1,1

EXAMPLE

p(3,x) = 16*x^4 - 40*x^3 + 33*x^2 -10*x +1 hence a(3)=40

KEYWORD

nonn

AUTHOR

Benoit Cloitre (abcloitre(AT)wanadoo.fr), Oct 22 2002

STATUS

approved