id:A105368 - OEIS Search Results

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Expansion of (1-x-x^3+x^4)/(1-x^5).

+0
3

1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 1 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Periodic {1,-1,0,-1,1}. Partial sums are A105367.`
	FORMULA	`G.f.: (1-x)(1-x^3)/(1-x^5); a(n)=(1/2-sqrt(5)/10)cos(4pin/5)-sqrt(1/2+sqrt(5)/10)sin(4pin/5)+ (1/2+sqrt(5)/10)cos(2pin/5)-sqrt(1/2-sqrt(5)/10)sin(2pin/5)` `a(n)=(1/5){-2[(n+1) mod 5]+[(n+2) mod 5]-[(n+3) mod 5]2*[(n+4) mod 5]}, with n>=0. - Paolo P. Lava (ppl(AT)spl.at), Jun 01 2007`
	CROSSREFS	`Sequence in context: A105234 A005713 A085241 this_sequence A138019 A097343 A040051` `Adjacent sequences: A105365 A105366 A105367 this_sequence A105369 A105370 A105371`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 01 2005`

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.

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