A067761 Positive integers divisible by 5 but not by 7.

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.

Links

Table of n, a(n) for n=1..55.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,1,-1).

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

Adjacent sequences: A067758 A067759 A067760 * A067762 A067763 A067764

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