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A333745 Numbers k such that the binary representations of 1/k and 1/(k+1) have the same period (A007733). 2

%I #21 Mar 15 2022 22:45:50

%S 1,90,104,164,286,457,665,702,740,836,975,1458,1469,1628,2071,2146,

%T 2625,2849,3800,4441,4575,5233,5284,5418,5715,6039,6073,6387,6458,

%U 6601,6649,7384,7417,8029,8521,9817,10136,11306,11439,11497,11642,12402,12651,13050,13322

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

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

%H Amiram Eldar, <a href="/A333745/b333745.txt">Table of n, a(n) for n = 1..10000</a>

%e 1 is a term since A007733(1) = A007733(2) = 1.

%e 90 is a term since A007733(90) = A007733(91) = 12.

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

%Y Cf. A007733, A333746.

%K nonn

%O 1,2

%A _Amiram Eldar_, Apr 03 2020

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Last modified March 28 16:58 EDT 2024. Contains 371254 sequences. (Running on oeis4.)