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A047594
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Numbers that are congruent to {0, 2, 3, 4, 5, 6, 7} mod 8.
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1
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0, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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G.f.: x^2*(2+x+x^2+x^3+x^4+x^5+x^6)/((1-x)^2*(x^6+x^5+x^4+x^3+x^2+x+1)).
a(n) = a(n-7) + 8 for n>7. (End)
a(n) = a(n-1) + a(n-7) - a(n-8) for n>8.
a(n) = (56*n - 35 + (n mod 7) + ((n+1) mod 7) + ((n+2) mod 7) + ((n+3) mod 7) + ((n+4) mod 7) - 6*((n+5) mod 7) + ((n+6) mod 7))/49.
a(7k) = 8k-1, a(7k-1) = 8k-2, a(7k-2) = 8k-3, a(7k-3) = 8k-4, a(7k-4) = 8k-5, a(7k-5) = 8k-6, a(7k-6) = 8k-8. (End)
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MAPLE
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MATHEMATICA
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Select[Range[0, 100], MemberQ[{0, 2, 3, 4, 5, 6, 7}, Mod[#, 8]] &] (* Vincenzo Librandi, Sep 12 2015 *)
DeleteCases[Range[0, 70], _?(Mod[#, 8]==1&)] (* Harvey P. Dale, Dec 19 2015 *)
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PROG
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(Magma) [n: n in [0..100] | n mod 8 in [0, 2, 3, 4, 5, 6, 7]]; // Vincenzo Librandi, Sep 12 2015
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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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