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A078338
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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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0
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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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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 (paoloplava(AT)gmail.com), Jun 01 2007
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CROSSREFS
| Sequence in context: A188553 A026354 A179840 * A007306 A196155 A140858
Adjacent sequences: A078335 A078336 A078337 * A078339 A078340 A078341
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 21 2002
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