A047560 Numbers that are congruent to {0, 2, 3, 6, 7} mod 8.

0, 2, 3, 6, 7, 8, 10, 11, 14, 15, 16, 18, 19, 22, 23, 24, 26, 27, 30, 31, 32, 34, 35, 38, 39, 40, 42, 43, 46, 47, 48, 50, 51, 54, 55, 56, 58, 59, 62, 63, 64, 66, 67, 70, 71, 72, 74, 75, 78, 79, 80, 82, 83, 86, 87, 88

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1).

Formula

From Chai Wah Wu, May 29 2016: (Start)

a(n) = a(n-1) + a(n-5) - a(n-6) for n>6.

G.f.: x^2*(x^4 + x^3 + 3*x^2 + x + 2)/(x^6 - x^5 - x + 1). (End)

Mathematica

Select[Range[0, 90], MemberQ[{0, 2, 3, 6, 7}, Mod[#, 8]]&] (* Harvey P. Dale, Nov 17 2011 *)
LinearRecurrence[{1, 0, 0, 0, 1, -1}, {0, 2, 3, 6, 7, 8}, 50] (* G. C. Greubel, May 29 2016 *)

Prog

(Magma) [n : n in [0..150] | n mod 8 in [0, 2, 3, 6, 7]]; // Wesley Ivan Hurt, May 29 2016

Crossrefs

Sequence in context: A028757 A184798 A332021 * A032899 A193528 A232681

Adjacent sequences: A047557 A047558 A047559 * A047561 A047562 A047563

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved