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A120323
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Periodic sequence 0, 3, 1, 0, 1, 3.
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0
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0, 3, 1, 0, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 1, 0, 1, 3, 0
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n)=(4/3)*((sin(n*Pi/6)+sin(n*Pi/2))^2, with n>=0
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EXAMPLE
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n=0 (4/3)*(sin(0)+sin(0))^2 = 0.
n=1 (4/3)*(sin(Pi/6)+sin(Pi/2))^2 = (4/3)*(1/2+1)^2 = (4/3)*(9/4) = 3.
n=2 (4/3)*(sin(Pi/3)+sin(Pi))^2 = (4/3)*(((3)^.5)/2+0)^2 = (4/3)*(3/4) = 1.
n=3 (4/3)*(sin(Pi/2)+sin(3*Pi/2))^2 = (4/3)*(1-1)^2 = 0.
n=4 (4/3)*(sin(2*Pi/3)+sin(2*Pi))^2 = (4/3)*(((3)^.5)/2+0)^2 = (4/3)*(3/4) = 1.
n=5 (4/3)*(sin(5*Pi/6)+sin(5*Pi/2)^2 = (4/3)*(1/2+1)^2 = (4/3)*(9/4) = 3.
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MAPLE
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P:=proc(n) local i, j; for i from 0 by 1 to n do j:=4/3*(sin(i*Pi/6)+sin(i*Pi/2))^2; print(j); od; end: P(20);
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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