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A047394
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Numbers that are congruent to {0, 1, 6} mod 8.
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1
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0, 1, 6, 8, 9, 14, 16, 17, 22, 24, 25, 30, 32, 33, 38, 40, 41, 46, 48, 49, 54, 56, 57, 62, 64, 65, 70, 72, 73, 78, 80, 81, 86, 88, 89, 94, 96, 97, 102, 104, 105, 110, 112, 113, 118, 120, 121, 126, 128, 129, 134, 136, 137, 142, 144, 145, 150, 152, 153, 158
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OFFSET
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1,3
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LINKS
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FORMULA
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G.f.: x^2*(1+5*x+2*x^2)/((1+x+x^2)*(x-1)^2). - R. J. Mathar, Dec 05 2011
a(n) = a(n-1) + a(n-3) - a(n-4) for n>4.
a(n) = 8*n/3-3+cos(2*n*Pi/3)+5*sin(2*n*Pi/3)/(3*sqrt(3)).
a(3k) = 8k-2, a(3k-1) = 8k-7, a(3k-2) = 8k-8. (End)
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MAPLE
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MATHEMATICA
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Select[Range[0, 150], MemberQ[{0, 1, 6}, Mod[#, 8]] &] (* Wesley Ivan Hurt, Jun 09 2016 *)
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PROG
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(Magma) [n : n in [0..150] | n mod 8 in [0, 1, 6]]; // Wesley Ivan Hurt, Jun 09 2016
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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