id:A105367 - OEIS Search Results

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

+0
4

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; listen)

	OFFSET	`0,1`
	COMMENT	`Periodic {1,0,0,-1,0}. Partial sums of A105368. Binomial transform of A105370.`
	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 (ppl(AT)spl.at), Jun 11 2007`
	CROSSREFS	`Sequence in context: A123504 A104015 A101266 this_sequence A065043 A121559 A004641` `Adjacent sequences: A105364 A105365 A105366 this_sequence A105368 A105369 A105370`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 01 2005`

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.

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