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A113627 a(n) is the smallest number k such that k and 2^k have the same last n digits. Here k may have fewer than n digits and can be padded with leading zeros (cf. A121319).

%I A113627 #17 Mar 24 2023 06:25:45
%S A113627 14,36,736,8736,48736,948736,2948736,32948736,432948736,3432948736,
%T A113627 53432948736,353432948736,5353432948736,75353432948736,75353432948736,
%U A113627 5075353432948736,15075353432948736,615075353432948736,8615075353432948736,98615075353432948736,98615075353432948736
%N A113627 a(n) is the smallest number k such that k and 2^k have the same last n digits. Here k may have fewer than n digits and can be padded with leading zeros (cf. A121319).
%H A113627 Jon E. Schoenfield, <a href="/A113627/b113627.txt">Table of n, a(n) for n = 1..81</a>
%e A113627 2^14 = 16384 and 14 end with the same single digit 4, thus a(1) = 14.
%Y A113627 See A121319, the main entry for this sequence, for further information.
%Y A113627 Same as A109405 except for the initial term (14). - _Max Alekseyev_, May 11 2007
%Y A113627 Cf. A007185, A016090, A003226, A035383, A064540, A064541, A109405, A121319, A206636.
%K A113627 nonn,base
%O A113627 1,1
%A A113627 _Jon E. Schoenfield_, Apr 23 2007