A014021 - OEIS

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A014021

Inverse of 12th cyclotomic polynomial.

1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,1`
	LINKS	`Table of n, a(n) for n=0..80.` `Index to sequences with linear recurrences with constant coefficients, signature (0,1,0,-1)`
	FORMULA	`a(n)=(1/12)*{-(n mod 12)-[(n+3) mod 12]+[(n+4) mod 12]-[(n+5) mod 12]+[(n+6) mod 12]+[(n+9) mod 12]-[(n+10) mod 12]+[(n+11) mod 12]}, Paolo P. Lava, Mar 10 2011.` `G.f. 1 / ( 1-x^2+x^4 ). - R. J. Mathar, Mar 11 2011`
	MAPLE	`with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80);`
	CROSSREFS	`Sequence in context: A015101 A145649 A016340 * A015725 A016331 A014429` `Adjacent sequences: A014018 A014019 A014020 * A014022 A014023 A014024`
	KEYWORD	`sign`
	AUTHOR	`Simon Plouffe`
	STATUS	`approved`

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Last modified June 20 00:15 EDT 2013. Contains 226416 sequences.