id:A075581 - OEIS Search Results

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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).

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1, 4, 16, 80, 448, 2304, 11520, 67584, 372736, 1966080, 11141120, 63504384, 348651520, 1917583360, 11142168576, 62704844800, 343513497600, 1992378286080, 11402534191104, 63709397385216, 361019918516224 (list; graph; listen)

	OFFSET	`0,2`
	EXAMPLE	`P(3,X)=X^7 + X^6 - 24X^5 - 24X^4 +80X^3 +80X^2 -64*X - 64 hence a(3)=80`
	CROSSREFS	`Sequence in context: A094013 A106568 A160564 this_sequence A020080 A003471 A002777` `Adjacent sequences: A075578 A075579 A075580 this_sequence A075582 A075583 A075584`
	KEYWORD	`easy,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 11 2002`

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.

AT&T Labs Research