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A075581 Let P(n,X)=prod(i=1,2n+1, X-1/cos(Pi*k/(2n+1)) ); then P(n,X) is a polynomial with integer coefficients. Sequences gives maximum values of absolute values of coefficients of P(n,X). 8
1, 4, 16, 80, 448, 2304, 11520, 67584, 372736, 1966080, 11141120, 63504384, 348651520, 1917583360, 11142168576, 62704844800, 343513497600, 1992378286080, 11402534191104, 63709397385216, 361019918516224 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..20.

EXAMPLE

P(3,X)=X^7 + X^6 - 24*X^5 - 24*X^4 +80*X^3 +80*X^2 -64*X - 64 hence a(3)=80

CROSSREFS

Sequence in context: A106568 A183146 A160564 * A171454 A316944 A020080

Adjacent sequences:  A075578 A075579 A075580 * A075582 A075583 A075584

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, Oct 11 2002

STATUS

approved

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Last modified September 26 12:07 EDT 2020. Contains 337371 sequences. (Running on oeis4.)