A112250 -id:A112250 - cp's OEIS frontend

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

Offset: 1

Reinhard Zumkeller, Aug 30 2005

nonn

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

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.

Complement of A112250.

Cf. A000523, A112248.

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

A112248(a(n)) = 0.

Name corrected by Ivan Neretin, Nov 26 2016

A112248 a(n) = n mod floor(log_2(n)).

Original entry on oeis.org

0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4

Offset: 2

Reinhard Zumkeller, Aug 30 2005

nonn

a(A112249(n)) = 0, a(A112250(n)) > 0, a(A112251(n)) = 1.

Cf. A000523, A112249, A112250.

seq(seq(n mod d, n=2^d .. 2^(d+1)-1),d=1..8); # Robert Israel, Aug 27 2020

Table[Mod[n, Floor @ Log2[n]], {n, 2, 100}] (* Amiram Eldar, Aug 27 2020 *)

a(n) = n % logint(n, 2); \\ Michel Marcus, Aug 27 2020

Name edited by Michel Marcus, Aug 27 2020

A112251 Numbers m such that m mod log_2(m) = 1.

Original entry on oeis.org

5, 7, 10, 13, 17, 21, 25, 29, 36, 41, 46, 51, 56, 61, 67, 73, 79, 85, 91, 97, 103, 109, 115, 121, 127, 134, 141, 148, 155, 162, 169, 176, 183, 190, 197, 204, 211, 218, 225, 232, 239, 246, 253, 257, 265, 273, 281, 289, 297, 305, 313, 321, 329, 337, 345, 353, 361

Offset: 1

Reinhard Zumkeller, Aug 30 2005

nonn

A112248(a(n)) = 1; subsequence of A112250.

Cf. A000523.

cp's OEIS Frontend

A112249 Numbers m such that m mod floor(log_2(m)) = 0.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Mathematica

Formula

Extensions

A112248 a(n) = n mod floor(log_2(n)).

Views

Author

Keywords

Comments

Crossrefs

Programs

Maple

Mathematica

PARI

Extensions

A112251 Numbers m such that m mod log_2(m) = 1.

Views

Author

Keywords

Comments

Crossrefs