%I #9 Jun 18 2015 14:17:53
%S 3,19,39,180,316,971,6836,25263,103825,279274,279268,1727604,18053496,
%T 8760852
%N Least power of 2 having exactly n consecutive 8's in its decimal representation.
%C No more terms < 28*10^6.
%H Popular Computing (Calabasas, CA), <a href="/A094776/a094776.jpg">Two Tables</a>, Vol. 1, (No. 9, Dec 1973), page PC9-16.
%e a(3)=39 because 2^39(i.e. 549755813888) is the smallest power of 2 to contain a run of 3 consecutive eights in its decimal form.
%t a = ""; Do[ a = StringJoin[a, "8"]; b = StringJoin[a, "8"]; k = 1; While[ StringPosition[ ToString[2^k], a] == {} || StringPosition[ ToString[2^k], b] != {}, k++ ]; Print[k], {n, 1, 10} ]
%K more,nonn,base
%O 1,1
%A _Shyam Sunder Gupta_, Aug 26 2007
%E Two more terms from _Sean A. Irvine_, May 31 2010
%E a(13)-a(14) from _Lars Blomberg_, Jan 24 2013
|