id:A152898 - OEIS Search Results

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Periodic sequence [1,4,0,0,0] of period 5

+0
2

1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 0, 0 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n+5) = a(n) with a(0) = 1, a(1) = 4 and a(2) = a(3) = a(4) = 0 ; o.g.f f(z) = ((1+4z)/(1-z^5)) ; a(n) = 1+2/55^(1/2)cos(2nPi/5)+2/52^(1/2)(5+5^(1/2))^(1/2)sin(2nPi/5)-2/55^(1/2)cos(4nPi/5)+2/52^(1/2)(5-5^(1/2))^(1/2)sin(4nPi/5)` `a(n)=(1/10){-(n mod 5)+[(n+1) mod 5]+[(n+2) mod 5]+9[(n+3) mod 5]-5[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Dec 15 2008]`
	CROSSREFS	`A026065` `Sequence in context: A136448 A128975 A152894 this_sequence A028719 A028662 A028715` `Adjacent sequences: A152895 A152896 A152897 this_sequence A152899 A152900 A152901`
	KEYWORD	`easy,nonn`
	AUTHOR	`Richard Choulet (richardchoulet(AT)yahoo.fr), Dec 14 2008`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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