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A152855
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Periodic sequence [1,2,0,2,0] of period 5
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0
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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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+2*z+2*z^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(2*n*Pi/5)+(1/5*((5-5^(1/2))^(1/2)+(5+5^(1/2))^(1/2))*2^(1/2))*sin(4*n*Pi/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 (paoloplava(AT)gmail.com), Dec 15 2008]
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CROSSREFS
| A026039
Sequence in context: A193779 A174793 A192011 * A192575 A029401 A086150
Adjacent sequences: A152852 A152853 A152854 * A152856 A152857 A152858
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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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EXTENSIONS
| More terms from Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 21 2008
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