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Search: id:A120324
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| A120324 |
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Periodic sequence 0, 1, 0, 4, 0, 1. |
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+0
1
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| 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 1
(list; graph; listen)
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OFFSET
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0,4
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FORMULA
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a(n)=(sin(n*Pi/6)+sin(5*n*Pi/6))^2
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EXAMPLE
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a(0)=(sin(0)+sin(0))^2 = 0.
a(1)=(sin(Pi/6)+sin(5*Pi/6))^2 = (1/2+1/2)^2 = 1.
a(2)=(sin(Pi/3)+sin(5*Pi/3))^2 = ((3^.5)/2-(3^.5)/2)^2 = 0.
a(3)=(sin(Pi/2)+sin(5*Pi/2))^2 = (1+1)^2 = 4.
a(4)=(sin(2*Pi/3)+sin(10*Pi/3))^2 = ((3^.5)/2-(3^.5)/2)^2 = 0.
a(5)=(sin(5*Pi/6)+sin(25*Pi/6))^2 = (1/2+1/2)^2 = 1.
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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:=(sin(i*Pi/6)+sin(5*i*Pi/6))^2; print(j); od; end: P(20);
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CROSSREFS
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Sequence in context: A115633 A036859 A036861 this_sequence A136630 A111728 A143784
Adjacent sequences: A120321 A120322 A120323 this_sequence A120325 A120326 A120327
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KEYWORD
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easy,nonn
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AUTHOR
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Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Jun 21 2006
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