A333745 Numbers k such that the binary representations of 1/k and 1/(k+1) have the same period (A007733).

1, 90, 104, 164, 286, 457, 665, 702, 740, 836, 975, 1458, 1469, 1628, 2071, 2146, 2625, 2849, 3800, 4441, 4575, 5233, 5284, 5418, 5715, 6039, 6073, 6387, 6458, 6601, 6649, 7384, 7417, 8029, 8521, 9817, 10136, 11306, 11439, 11497, 11642, 12402, 12651, 13050, 13322

Offset: 1

Author

Amiram Eldar, Apr 03 2020

Keywords

• nonn

Comments

Numbers k such that A007733(k) = A007733(k+1).

Examples

			1 is a term since A007733(1) = A007733(2) = 1.
90 is a term since A007733(90) = A007733(91) = 12.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A007733, A333746.

Programs

Mathematica

f[n_] := MultiplicativeOrder[2, n/(2^IntegerExponent[n, 2])]; Select[Range[10^4], f[#] == f[# + 1] &]