id:A152892 - OEIS Search Results

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Periodic sequence [0,3,1,0,1] of period 5

+0
3

0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1, 0, 3, 1, 0, 1 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n+5) = a(n) with a(0) = a(3) = 0, a(1) = 3 and a(2) = a(4) = 1 ; o.g.f f(z) = ((3z+z^2+z^4)/(1-z^5)) ;` `a(n) = 1+(-1/2+3/105^(1/2))cos(2nPi/5)+(1/52^(1/2)(5+5^(1/2))^(1/2)+1/102^(1/2)(5-5^(1/2))^(1/2))sin(2nPi/5)+(-1/2-3/105^(1/2))cos(4nPi/5)+(-1/102^(1/2)(5+5^(1/2))^(1/2)+1/52^(1/2)(5-5^(1/2))^(1/2))sin(4nPi/5)` `a(n)=(1/10){3(n mod 5)-[(n+1) mod 5]+3[(n+2) mod 5]+5[(n+3) mod 5]-5[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Dec 15 2008]`
	CROSSREFS	`026053, A026068` `Sequence in context: A120080 A111700 A060096 this_sequence A051834 A062719 A117417` `Adjacent sequences: A152889 A152890 A152891 this_sequence A152893 A152894 A152895`
	KEYWORD	`easy,nonn`
	AUTHOR	`Richard Choulet (richardchoulet(AT)yahoo.fr), Dec 14 2008`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

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