%I #16 Jun 17 2020 17:15:08
%S 5,10,15,20,25,30,40,45,50,55,60,65,75,80,85,90,95,100,110,115,120,
%T 125,130,135,145,150,155,160,165,170,180,185,190,195,200,205,215,220,
%U 225,230,235,240,250,255,260,265,270,275,285,290,295,300,305,310,320
%N Positive integers divisible by 5 but not by 7.
%D Kenneth H. Rosen, Discrete Mathematics and Its Applications, 4th Ed., p. 79, 1.7.32.b.
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,1,-1).
%F a(n) = 5*A047304(n). - _Zak Seidov_, Mar 19 2014
%F a(n) = a(n - 6) + 35. - _David A. Corneth_, Jun 17 2020
%F G.f.: 5*x*(x^6+x^5+x^4+x^3+x^2+x+1)/(x^7-x^6-x+1). - _Alois P. Heinz_, Jun 17 2020
%t Select[Range[65]*5, Mod[5#, 7] != 0 &] (* corrected by _Georg Fischer_, Jun 17 2020 *)
%Y Cf. A047304.
%K nonn,easy
%O 1,1
%A Jonathan A. Heese (macgyver86(AT)aol.com), Feb 06 2002
%E Edited by _Robert G. Wilson v_, Feb 07 2002
%E a(36)=205 corrected by _Georg Fischer_, Jun 17 2020