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Numbers that are congruent to {2, 3, 4, 6, 7} mod 8.
1

%I #15 Mar 07 2020 06:52:07

%S 2,3,4,6,7,10,11,12,14,15,18,19,20,22,23,26,27,28,30,31,34,35,36,38,

%T 39,42,43,44,46,47,50,51,52,54,55,58,59,60,62,63,66,67,68,70,71,74,75,

%U 76,78,79,82,83,84,86,87,90

%N Numbers that are congruent to {2, 3, 4, 6, 7} mod 8.

%H G. C. Greubel, <a href="/A047518/b047518.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 30 2016: (Start)

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

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

%t LinearRecurrence[{1, 0, 0, 0, 1, -1}, {2, 3, 4, 6, 7, 10}, 50] (* _G. C. Greubel_, May 30 2016 *)

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_