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A047555
Numbers that are congruent to {0, 1, 2, 6, 7} mod 8.
1
0, 1, 2, 6, 7, 8, 9, 10, 14, 15, 16, 17, 18, 22, 23, 24, 25, 26, 30, 31, 32, 33, 34, 38, 39, 40, 41, 42, 46, 47, 48, 49, 50, 54, 55, 56, 57, 58, 62, 63, 64, 65, 66, 70, 71, 72, 73, 74, 78, 79, 80, 81, 82, 86, 87, 88, 89, 90, 94, 95, 96, 97, 98, 102, 103, 104
OFFSET
1,3
FORMULA
From Chai Wah Wu, May 29 2016: (Start)
a(n) = a(n-1) + a(n-5) - a(n-6).
G.f.: x^2*(x^4 + x^3 + 4*x^2 + x + 1)/(x^6 - x^5 - x + 1). (End)
MATHEMATICA
Select[Range[0, 100], MemberQ[{0, 1, 2, 6, 7}, Mod[#, 8]]&] (* Harvey P. Dale, Jul 27 2011 *)
LinearRecurrence[{1, 0, 0, 0, 1, -1}, {0, 1, 2, 6, 7, 8}, 50] (* G. C. Greubel, May 29 2016 *)
CROSSREFS
Sequence in context: A073005 A091942 A372591 * A184939 A043050 A159843
KEYWORD
nonn,easy
STATUS
approved