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A124402 Numbers k such that 3^k mod 2^k < 3^(k-1) mod 2^(k-1). 0

%I

%S 4,7,17,20,24,27,29,40,45,48,49,53,55,57,61,62,65,67,72,76,79,82,83,

%T 85,88,91,95,100,101,106,107,109,112,119,124,136,139,142,149,151,153,

%U 158,159,164,165,167,171,178,186,189,193,197,198,202,204,209,210,215,219

%N Numbers k such that 3^k mod 2^k < 3^(k-1) mod 2^(k-1).

%C Also indices k such that A002380(k) < A002380(k-1).

%e 1 == 3^4 (mod 2^4) which is less than 3 == 3^3 (mod 2^3) so 4 is a term.

%t pm = 0; lst = {}; Do[pn = PowerMod[3, n, 2^n]; If[pn < pm, AppendTo[lst, n]]; pm = pn, {n, 221}]; lst

%Y Cf. A002380.

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Dec 14 2006

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Last modified July 26 14:45 EDT 2021. Contains 346294 sequences. (Running on oeis4.)