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A047560 Numbers that are congruent to {0, 2, 3, 6, 7} mod 8. 1

%I

%S 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,

%T 40,42,43,46,47,48,50,51,54,55,56,58,59,62,63,64,66,67,70,71,72,74,75,

%U 78,79,80,82,83,86,87,88

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

%H G. C. Greubel, <a href="/A047560/b047560.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,1,-1).

%F From _Chai Wah Wu_, May 29 2016: (Start)

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

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

%t Select[Range[0,90], MemberQ[{0,2,3,6,7}, Mod[#,8]]&] (* _Harvey P. Dale_, Nov 17 2011 *)

%t LinearRecurrence[{1,0,0,0,1,-1},{0, 2, 3, 6, 7, 8}, 50] (* _G. C. Greubel_, May 29 2016 *)

%o (MAGMA) [n : n in [0..150] | n mod 8 in [0, 2, 3, 6, 7]]; // _Wesley Ivan Hurt_, May 29 2016

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_

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Last modified March 19 11:10 EDT 2019. Contains 321329 sequences. (Running on oeis4.)