id:A152889 - OEIS Search Results

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

+0
2

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

	OFFSET	`0,3`
	FORMULA	`a(n+5) = a(n) with a(0) = 1, a(2) = a(3) = a(4) = 0 and a(2) = 4 ; o.g;f f(z) = ((1+4z^2)/(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+2) mod 5]+9[(n+2) mod 5]-7[(n+3) mod 5]+3[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 09 2009]`
	CROSSREFS	`A026048` `Sequence in context: A013334 A156393 A096623 this_sequence A151905 A078669 A046783` `Adjacent sequences: A152886 A152887 A152888 this_sequence A152890 A152891 A152892`
	KEYWORD	`easy,nonn`
	AUTHOR	`Richard Choulet (richardchoulet(AT)yahoo.fr), Dec 14 2008`
	EXTENSIONS	`More terms from Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 29 2008`

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Last modified December 9 14:43 EST 2009. Contains 170430 sequences.

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