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Search: id:A152890
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| A152890 |
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Periodic sequence [4,1,4,0,1] of period 5 |
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+0
2
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| 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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a(n+5) = a(n) with a(0) = a(2) = 4, a(1) = a(4) = 1 and a(3) = 0 ; o.g.f f(z) = ((4+z+4*z^2+z^4)/(1-z^5)) a(n) = 2+(-1/5*5^(1/2)+1)*cos(2*n*Pi/5)+(2/5*2^(1/2)*(5-5^(1/2))^(1/2))*sin(2*n*Pi/5)+(1/5*5^(1/2)+1)*cos(4*n*Pi/5)+(-2/5*2^(1/2)*(5+5^(1/2))^(1/2))*sin(4*n*Pi/5)
a(n)=(1/5)*{-2*(n mod 5)+5*[(n+2) mod 5]-2*[(n+3) mod 5]+4*[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 09 2009]
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CROSSREFS
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A026051
Sequence in context: A162516 A085471 A064221 this_sequence A143354 A106141 A082999
Adjacent sequences: A152887 A152888 A152889 this_sequence A152891 A152892 A152893
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KEYWORD
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easy,nonn
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AUTHOR
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Richard Choulet (richardchoulet(AT)yahoo.fr), Dec 14 2008
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