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A046290 Numbers k such that 2^k contains 2^4=16 as its largest proper substring of the form 2^m (probably finite). 0

%I

%S 14,24,40,44,62,64,70,75,81,84,98,99,114,117,122,127,133,134,140,159,

%T 167,175,184,188,189,190,200,212,215,232,234,273,274,282,292,300,318,

%U 348,377,440,516,527,620

%N Numbers k such that 2^k contains 2^4=16 as its largest proper substring of the form 2^m (probably finite).

%e 2^14 = {16}384;

%e 2^24 = {16}7772{16};

%e 2^40 = 109951{16}27776.

%t sub2[n_] := Block[{s = ToString[2^n], k = n - 1}, While[k >= 0 && ! StringContainsQ[s, ToString[2^k]], k--]; k]; Select[Range[2000], sub2[#] == 4 &] (* _Giovanni Resta_, Oct 14 2019 *)

%Y Cf. A033921.

%K nonn,base

%O 1,1

%A _Patrick De Geest_, Jun 15 1998

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Last modified January 20 01:01 EST 2022. Contains 350467 sequences. (Running on oeis4.)