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A152894
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Periodic sequence [0,0,1,4,0] of period 5
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1
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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FORMULA
| a(n+5) = a(n) with a(0) = a(1) = a(4) = 0, a(2) = 1 and a(3) = 4 ; o.g.f f(z) = ((z^2+4*z^3)/((1-z^5)) ; a(n) = 1+(-1/2-1/2*5^(1/2))*cos(2*n*Pi/5)+(-3/10*2^(1/2)*(5-5^(1/2))^(1/2))*sin(2*n*Pi/5)+(-1/2+1/2*5^(1/2))*cos(4*n*Pi/5)+(3/10*2^(1/2)*(5+5^(1/2))^(1/2))*sin(4*n*Pi/5)
a(n)=(1/10)*{(n mod 5)+9*[(n+1) mod 5]-5*[(n+2) mod 5]-[(n+3) mod 5]+[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Dec 15 2008]
a(n) = (n^3-n) mod 5 [From Gary Detlefs (gdetlefs(AT)aol.com), Mar 20 2010]
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MAPLE
| seq((n^3-n) mod 5, n=0..50); [From Gary Detlefs (gdetlefs(AT)aol.com), Mar 20 2010]
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CROSSREFS
| A026062
Sequence in context: A070206 A136448 A128975 * A152898 A028719 A028662
Adjacent sequences: A152891 A152892 A152893 * A152895 A152896 A152897
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KEYWORD
| easy,nonn
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AUTHOR
| Richard Choulet (richardchoulet(AT)yahoo.fr), Dec 14 2008
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