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A067761
Positive integers divisible by 5 but not by 7.
1
5, 10, 15, 20, 25, 30, 40, 45, 50, 55, 60, 65, 75, 80, 85, 90, 95, 100, 110, 115, 120, 125, 130, 135, 145, 150, 155, 160, 165, 170, 180, 185, 190, 195, 200, 205, 215, 220, 225, 230, 235, 240, 250, 255, 260, 265, 270, 275, 285, 290, 295, 300, 305, 310, 320
OFFSET
1,1
REFERENCES
Kenneth H. Rosen, Discrete Mathematics and Its Applications, 4th Ed., p. 79, 1.7.32.b.
FORMULA
a(n) = 5*A047304(n). - Zak Seidov, Mar 19 2014
a(n) = a(n - 6) + 35. - David A. Corneth, Jun 17 2020
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
MATHEMATICA
Select[Range[65]*5, Mod[5#, 7] != 0 &] (* corrected by Georg Fischer, Jun 17 2020 *)
CROSSREFS
Cf. A047304.
Sequence in context: A313734 A292656 A313735 * A358848 A080193 A313736
KEYWORD
nonn,easy
AUTHOR
Jonathan A. Heese (macgyver86(AT)aol.com), Feb 06 2002
EXTENSIONS
Edited by Robert G. Wilson v, Feb 07 2002
a(36)=205 corrected by Georg Fischer, Jun 17 2020
STATUS
approved