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A105367

Expansion of (1-x^3)/(1-x^5).

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

	OFFSET	`0,1`
	COMMENTS	`Periodic {1,0,0,-1,0}. Partial sums of A105368. Binomial transform of A105370.`
	LINKS	`Table of n, a(n) for n=0..86.` `Index entries for linear recurrences with constant coefficients, signature (-1,-1,-1,-1).`
	FORMULA	`G.f.: (1+x+x^2)/(1+x+x^2+x^3+x^4);` `a(n) = sqrt(2/5 - 2sqrt(5)/25)cos(4Pin/5 + 3Pi/10) + sqrt(2/5 + 2sqrt(5)/25)sin(2Pin/5 + 2Pi/5).`
	CROSSREFS	`Sequence in context: A244612 A262805 A213728 * A232990 A285076 A338353` `Adjacent sequences: A105364 A105365 A105366 * A105368 A105369 A105370`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry, Apr 01 2005`
	STATUS	`approved`

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Last modified August 22 05:29 EDT 2024. Contains 375356 sequences. (Running on oeis4.)