id:A078338 - OEIS Search Results

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Let u(1)=u(2)=u(3)=1 and u(n)=(-1)^n*sign(u(n-1)-u(n-2))*u(n-3), then a(n)=sum(k=1,n,u(k)).

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1, 2, 3, 3, 4, 5, 5, 4, 5, 5, 4, 3, 3, 2, 1, 1, 2, 1, 1, 2, 3, 3, 4, 5, 5, 4, 5, 5, 4, 3, 3, 2, 1, 1, 2, 1, 1, 2, 3, 3, 4, 5, 5, 4, 5, 5, 4, 3, 3, 2, 1, 1, 2, 1, 1, 2, 3, 3, 4, 5, 5, 4, 5, 5, 4, 3, 3, 2, 1, 1, 2, 1, 1, 2, 3, 3, 4, 5, 5, 4, 5, 5, 4, 3, 3, 2, 1, 1, 2, 1, 1, 2, 3, 3, 4, 5, 5, 4, 5, 5, 4, 3, 3, 2, 1 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`Periodic with period 18.` `a(n)=(1/306){6[n mod 18] + 23[(n + 1) mod 18] - 11[(n + 2) mod 18] + 6[(n + 3) mod 18] + 23[(n + 4) mod 18] + 23[(n + 5) mod 18] + 6[(n + 6) mod 18] + 23[(n + 7) mod 18] + 23[(n + 8) mod 18] + 6[(n + 9) mod 18] - 11[(n + 10) mod 18] + 23[(n + 11) mod 18] + 6[(n + 12) mod 18] - 11[(n + 13) mod 18] - 11[(n + 14) mod 18] + 6[(n + 15) mod 18] - 11[(n + 16) mod 18] - 11*[(n + 17) mod 18]}, with n>=0. - Paolo P. Lava (ppl(AT)spl.at), Jun 01 2007`
	CROSSREFS	`Adjacent sequences: A078335 A078336 A078337 this_sequence A078339 A078340 A078341` `Sequence in context: A115729 A115728 A026354 this_sequence A007306 A140858 A075458`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 21 2002`

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Last modified November 21 00:02 EST 2008. Contains 150810 sequences.

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