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A047570
Numbers that are congruent to {2, 4, 5, 6, 7} mod 8.
1
2, 4, 5, 6, 7, 10, 12, 13, 14, 15, 18, 20, 21, 22, 23, 26, 28, 29, 30, 31, 34, 36, 37, 38, 39, 42, 44, 45, 46, 47, 50, 52, 53, 54, 55, 58, 60, 61, 62, 63, 66, 68, 69, 70, 71, 74, 76, 77, 78, 79, 82, 84, 85, 86, 87, 90, 92, 93, 94, 95, 98, 100, 101, 102, 103, 106
OFFSET
1,1
FORMULA
From Chai Wah Wu, May 30 2016: (Start)
a(n) = a(n-1) + a(n-5) - a(n-6).
G.f.: x*(x^5 + x^4 + x^3 + x^2 + 2*x + 2)/(x^6 - x^5 - x + 1). (End)
MATHEMATICA
LinearRecurrence[{1, 0, 0, 0, 1, -1}, {2, 4, 5, 6, 7, 10} , 50] (* G. C. Greubel, May 30 2016 *)
Select[Range[200], MemberQ[{2, 4, 5, 6, 7}, Mod[#, 8]] &] (* Vincenzo Librandi May 30 2016 *)
PROG
(Magma) [n: n in [0..150] | n mod 8 in [2, 4, 5, 6, 7]]; // Vincenzo Librandi, May 30 2016
CROSSREFS
Sequence in context: A083875 A165291 A080762 * A129132 A191843 A318606
KEYWORD
nonn,easy
STATUS
approved