%I A006889 M4710
%S A006889 0,10,53,242,377,1491,1492,6801,14007,100823,559940,1148303,4036338,
%T A006889 4036339,53619497,119476156,146226201,918583174
%N A006889 Least power of 2 having exactly n consecutive 0's in its decimal representation.
%D A006889 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%e A006889 2^53619497 is the smallest power of 2 to contain a run of 14 consecutive 
               zeros in its decimal form.
%e A006889 2^119476156 (a 35965907-digit number) contains the sequence ...40030000000000000008341... 
               about one third of the way through.
%t A006889 a = ""; Do[ a = StringJoin[a, "0"]; b = StringJoin[a, "0"]; k = 1; While[ 
               StringPosition[ ToString[2^k], a] == {} || StringPosition[ ToString[2^k], 
               b] != {}, k++ ]; Print[k], {n, 1, 10} ] (Robert G. Wilson v)
%Y A006889 Cf. A031146.
%Y A006889 Sequence in context: A050494 A119543 A063899 this_sequence A007035 A093187 
               A152762
%Y A006889 Adjacent sequences: A006886 A006887 A006888 this_sequence A006890 A006891 
               A006892
%K A006889 nonn,hard
%O A006889 0,2
%A A006889 P. D. Mitchelmore (dh115(AT)city.ac.uk)
%E A006889 3 more terms from Clive J. Tooth, Jan 24 2001. One more term from Clive 
               Tooth (clive.tooth(AT)unisys.com), Nov 28 2001
%E A006889 One more term from Sacha Roscoe (scarletmanuka(AT)iprimus.com.au), Dec 
               16 2002
%E A006889 a(17) from Sacha Roscoe (scarletmanuka(AT)iprimus.com.au), Feb 06 2007