A105367 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

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).` `a(n) = (1/5)*(-(n mod 5) - ((n+1) mod 5) + ((n+2) mod 5) + ((n+4) mod 5)), with n >= 0. - Paolo P. Lava, Jun 11 2007`
	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`

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 30 23:17 EDT 2023. Contains 361623 sequences. (Running on oeis4.)