Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%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