A112249 - OEIS

A112249

Numbers m such that m mod floor(log_2(m)) = 0.

2, 3, 4, 6, 9, 12, 15, 16, 20, 24, 28, 35, 40, 45, 50, 55, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The asymptotic density of this sequence is 0 (Cooper and Kennedy, 1989). - Amiram Eldar, Jul 10 2020

LINKS

Ivan Neretin, Table of n, a(n) for n = 1..10000

Curtis N. Cooper and Robert E. Kennedy, Chebyshev's inequality and natural density, Amer. Math. Monthly, Vol. 96, No. 2 (1989), pp. 118-124.

FORMULA

A112248(a(n)) = 0.

MATHEMATICA

Select[Range[2, 350], Divisible[#, Floor@Log2@#] &] (* Ivan Neretin, Nov 26 2016 *)