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A141425
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Period 6: repeat 1, 2, 4, 5, 7, 8.
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21
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1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4, 5, 7, 8, 1, 2, 4
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OFFSET
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1,2
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COMMENTS
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Terms of the simple continued fraction of 163/(4*sqrt(32370)-607). Decimal expansion of 17036/50023. [From Paolo P. Lava, Aug 05 2009]
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LINKS
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Table of n, a(n) for n=1..105.
Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,0,0,1)
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FORMULA
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a(n)=(1/30)*{44*(n mod 6)+4*[(n+1) mod 6]-[(n+2) mod 6]+4*[(n+3) mod 6]-[(n+4) mod 6]+4*[(n+5) mod 6]} [From Paolo P. Lava, Aug 25 2008]
G.f.: x(1+2x+4x^2+5x^3+7x^4+8x^5)/((1-x)(1+x)(1-x+x^2)(1+x+x^2)). [From R. J. Mathar, Nov 11 2008]
a(n) = 9/2-3*cos(Pi*(n-1)/3)/2 -3^(3/2)*sin(Pi*(n-1)/3)/2 -3*cos(2*Pi*(n
-1)/3)/2 -3^(1/2)*sin(2*Pi*(n-1)/3)/2 +(-1)^n/2. - R. J. Mathar, Oct 08 2011
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MATHEMATICA
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Select[ If[Mod[ #, 3] != 0, Mod[ #, 9], 0] & /@ Range@ 157, # > 0 &] (* Robert G. Wilson v, Aug 18 2008 *)
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PROG
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(PARI) a(n)=(1+(n%2)+3*((n-1)%6))/2 [From Jaume Oliver Lafont, Aug 30 2009]
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CROSSREFS
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Sequence in context: A062249 A081404 A081516 * A023962 A094562 A178344
Adjacent sequences: A141422 A141423 A141424 * A141426 A141427 A141428
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KEYWORD
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nonn,easy
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AUTHOR
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Paul Curtz, Aug 06 2008
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STATUS
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approved
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