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A135447
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Period 10: repeat 1, 2, 4, 8, 5, -1, -2, -4, -8, -5.
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1
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1, 2, 4, 8, 5, -1, -2, -4, -8, -5, 1, 2, 4, 8, 5, -1, -2, -4, -8, -5, 1, 2, 4, 8, 5, -1, -2, -4, -8, -5, 1, 2, 4, 8, 5, -1, -2, -4, -8, -5, 1, 2, 4, 8, 5, -1, -2, -4, -8, -5, 1, 2, 4, 8, 5, -1, -2, -4, -8, -5, 1, 2, 4, 8, 5, -1, -2, -4, -8, -5, 1, 2, 4, 8, 5, -1, -2, -4, -8, -5, 1, 2, 4, 8
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..83.
Index entries for sequences related to linear recurrences with constant coefficients, signature (1,-1,1,-1).
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FORMULA
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a(n+1) == 2a(n) mod 11.
a(n)=(1/10)*{-6*(n mod 10)-3*[(n+1) mod 10]+4*[(n+2) mod 10]+2*[(n+3) mod 10]+[(n+4) mod 10]+6*[(n+5) mod 10]+3*[(n+6) mod 10]-4*[(n+7) mod 10]-2*[(n+8) mod 10]-[(n+9) mod 10]}, with n>=0. - Paolo P. Lava, Dec 18 2007
a(n) = (0.5-(7*5^0.5/10))*cos(Pi*n/5)+(2^0.5/10)*(12*(5+5^0.5)^0.5+7*(5-5^0.5)^0.5)*sin(Pi*n/5)+(0.5+(7*5^0.5/10))*cos(3*Pi*n/5)-(2^0.5/10)*(12*(5-5^0.5)^0.5-7*(5+5^0.5)^0.5)*sin(3*Pi*n/5). - Richard Choulet, Jan 04 2008
O.g.f.: (5*x^3+3*x^2+x+1)/(x^4-x^3+x^2-x+1) . - R. J. Mathar, Jan 07 2008
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MAPLE
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A135447 := proc(n) op((n mod 10)+1, [1, 2, 4, 8, 5, -1, -2, -4, -8, -5]) ; end: seq(A135447(n), n=0..150) ; [From R. J. Mathar, Feb 07 2009]
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PROG
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(PARI) a(n)=[1, 2, 4, 8, 5, -1, -2, -4, -8, -5][n%10+1] \\ Charles R Greathouse IV, Jun 02 2011
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CROSSREFS
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Sequence in context: A133992 A126215 A165617 * A163339 A092892 A146079
Adjacent sequences: A135444 A135445 A135446 * A135448 A135449 A135450
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KEYWORD
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sign,easy,less,changed
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AUTHOR
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Paul Curtz, Dec 14 2007
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EXTENSIONS
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More periods from R. J. Mathar, Feb 07 2009
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STATUS
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approved
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