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A047516
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Numbers that are congruent to {1, 3, 4, 6, 7} mod 8.
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1
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1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 19, 20, 22, 23, 25, 27, 28, 30, 31, 33, 35, 36, 38, 39, 41, 43, 44, 46, 47, 49, 51, 52, 54, 55, 57, 59, 60, 62, 63, 65, 67, 68, 70, 71, 73, 75, 76, 78, 79, 81, 83, 84, 86, 87, 89, 91, 92, 94, 95, 97, 99, 100, 102, 103, 105
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = a(n-1) + a(n-5) - a(n-6) for n > 6.
G.f.: x*(x^5 + x^4 + 2*x^3 + x^2 + 2*x + 1)/(x^6 - x^5 - x + 1). (End)
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MATHEMATICA
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Select[Range[140], MemberQ[{1, 3, 4, 6, 7}, Mod[#, 8]] &] (* Vincenzo Librandi, May 30 2016 *)
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PROG
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(Magma) [n: n in [0..110] | n mod 8 in [1, 3, 4, 6, 7]]; // Vincenzo Librandi, May 30 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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