A106837 Numbers m such that both m and m+1 have odd part of the form 4*k+3.

6, 11, 14, 22, 23, 27, 30, 38, 43, 46, 47, 54, 55, 59, 62, 70, 75, 78, 86, 87, 91, 94, 95, 102, 107, 110, 111, 118, 119, 123, 126, 134, 139, 142, 150, 151, 155, 158, 166, 171, 174, 175, 182, 183, 187, 190, 191, 198, 203, 206, 214, 215, 219, 222, 223, 230

Offset

1,1

Comments

The asymptotic density of this sequence is 1/4. - Amiram Eldar, Sep 14 2024

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

30/2 = 15 == 3 (mod 4) and also 31 == 3 (mod 4), therefore 30 is in the sequence.

Mathematica

SequencePosition[Table[If[EvenQ[n], Mod[n/2^IntegerExponent[n, 2], 4], Mod[ n, 4]], {n, 250}], {3, 3}][[All, 1]] (* Requires Mathematica version 10 or later *)  (* Harvey P. Dale, Nov 20 2016 *)

Crossrefs

Cf. A091067, A106838, A106840.

Contains A106838 and A106838+1.

Sequence in context: A315386 A333008 A315387 * A315388 A315389 A315390

Adjacent sequences: A106834 A106835 A106836 * A106838 A106839 A106840

Keyword

nonn

Author

Ralf Stephan, May 03 2005

Status

approved