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Numbers that are congruent to {0, 2, 3, 5, 6} mod 7.
6

%I #14 Dec 02 2017 08:37:49

%S 0,2,3,5,6,7,9,10,12,13,14,16,17,19,20,21,23,24,26,27,28,30,31,33,34,

%T 35,37,38,40,41,42,44,45,47,48,49,51,52,54,55,56,58,59,61,62,63,65,66,

%U 68,69,70,72,73,75,76,77,79

%N Numbers that are congruent to {0, 2, 3, 5, 6} mod 7.

%H Melvyn B. Nathanson, <a href="http://dx.doi.org/10.4169/amer.math.monthly.120.05.409">On the fractional parts of roots of positive real numbers</a>, Amer. Math. Monthly, 120 (2013), 409-429 [see p. 417].

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

%F a(n) = a(n-5)+7. O.g.f.: x^2*(2+x+2*x^2+x^3+x^4)/((-1+x)^2*(x^4+x^3+x^2+x+1)). - _R. J. Mathar_, Apr 19 2008

%K nonn

%O 1,2

%A _N. J. A. Sloane_