%I A140117
%S A140117 2,4,8,15,16,31,32,33,34,63,64,65,66,68,72,125,126,127,128,129,130,131,
%T A140117 132,136,144,160,192,247,251,253,254,255,256,257,258,259,260,264,272,
%U A140117 288,320,384,503,507,509,510,511,512,513,514,515,516,517,518,520,521
%N A140117 Numbers n for which A140116(n) uses fewer symbols than A007088(n).
%C A140117 The representation of n given by A140116(n) is more compact than the 
               standard binary form of n for these numbers consisting of a sufficiently 
               large proportion of 0s or of 1s among their bits.
%e A140117 See also examples for A140116. 2180 is a term here as 2180 = 100010000100 
               (base 2), which uses 12 symbols, but A140116(2180) = 10112111210, 
               which uses only 11 symbols including the two delimiter symbols (for 
               which 2 is used).
%Y A140117 Cf. A140116, A007088.
%Y A140117 Sequence in context: A078613 A072202 A076351 this_sequence A039743 A070008 
               A033623
%Y A140117 Adjacent sequences: A140114 A140115 A140116 this_sequence A140118 A140119 
               A140120
%K A140117 nonn
%O A140117 1,1
%A A140117 Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 08 2008