A108651 Multiples of 8 that are divisible by no prime > 5.

0, 8, 16, 24, 32, 40, 48, 64, 72, 80, 96, 120, 128, 144, 160, 192, 200, 216, 240, 256, 288, 320, 360, 384, 400, 432, 480, 512, 576, 600, 640, 648, 720, 768, 800, 864, 960, 1000, 1024, 1080, 1152, 1200, 1280, 1296, 1440, 1536, 1600, 1728, 1800, 1920, 1944, 2000, 2048

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..700

N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, arXiv:math/0509316 [math.NT], 2005-2006; J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

Formula

a(n) = 8*A051037(n). - Michel Marcus, Jun 21 2022

Sum_{n>=1} 1/a(n) = 15/32. - Amiram Eldar, Jun 28 2022

Mathematica

Select[8*Range[0, 300], Max[FactorInteger[#][[All, 1]]]<6&] (* Harvey P. Dale, Oct 10 2016 *)

Crossrefs

Cf. A051037.

Sequence in context: A043421 A028438 A033020 * A031488 A020335 A044833

Adjacent sequences: A108648 A108649 A108650 * A108652 A108653 A108654

Keyword

nonn

Author

N. J. A. Sloane and Nadia Heninger, Jul 08 2005

Status

approved