id:A152855 - OEIS Search Results

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Periodic sequence [1,2,0,2,0] of period 5

+0
1

1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n+5) = a(n) with a(0) = 1, a(1) = a(3) = 2 and a(2) = a(4) = 0 o.g.f f(z) = ((1+2z+2z^3)/(1-z^5)) a(n) = 1+(-1/5((5-5^(1/2))^(1/2)-(5+5^(1/2))^(1/2))2^(1/2))sin(2nPi/5)+(1/5((5-5^(1/2))^(1/2)+(5+5^(1/2))^(1/2))2^(1/2))sin(4nPi/5)` `a(n)=(1/10){3(n mod 5)+[(n+1) mod 5]+5[(n+2) mod 5]-5[(n+3) mod 5]+11*[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Dec 15 2008]`
	CROSSREFS	`A026039` `Sequence in context: A026608 A026612 A046922 this_sequence A029401 A086150 A105166` `Adjacent sequences: A152852 A152853 A152854 this_sequence A152856 A152857 A152858`
	KEYWORD	`easy,nonn`
	AUTHOR	`Richard Choulet (richardchoulet(AT)yahoo.fr), Dec 14 2008`
	EXTENSIONS	`More terms from Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 21 2008`

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Last modified December 4 15:11 EST 2009. Contains 170347 sequences.

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