%I A104233
%S A104233 125,128,216,243,256,343,512,625,729,1000,1015,1016,1017,1018,1019,
%T A104233 1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,
%U A104233 1033
%N A104233 Sequence of positive integers which have a "compact" representation which 
               uses fewer decimal digits than just writing the number out normally.
%C A104233 You are allowed to use the following symbols as well:
%C A104233 ( ) grouping
%C A104233 + addition
%C A104233 - subtraction
%C A104233 * multiplication
%C A104233 / division
%C A104233 ^ exponentiation
%C A104233 Note that 1015 to 1033 are all representable in the form 4^5-d or 4^5+d, 
               where d is a single digit.
%C A104233 The complexity of a number has been defined in several different ways 
               by different authors. See the Index to the OEIS for other definitions. 
               - Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 02 2005
%D A104233 R. K. Guy, Some suspiciously simple sequences, Amer. Math. Monthly 93 
               (1986), 186-190; 94 (1987), 965; 96 (1989), 905.
%D A104233 R. K. Guy, Unsolved Problems Number Theory, Sect. F26.
%D A104233 J. Arias de Reyna, Complejidad de los numeros naturales, Gaceta de la 
               Real Sociedad Matematica Espanola, 3, (2000), 230-250.
%H A104233 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               IntegerComplexity.html">Integer Complexity.</a>
%F A104233 complexity(a(n)) < ceiling(log_10(a(n))) for the definition of integer 
               complexity given. - Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 
               02 2005
%Y A104233 Cf. A036057.
%Y A104233 Cf. A005245, A003313, A076142, A076091, A061373, A005421, A064097, A005520, 
               A025280, A003037.
%Y A104233 Sequence in context: A030678 A028939 A080538 this_sequence A046759 A115938 
               A126895
%Y A104233 Adjacent sequences: A104230 A104231 A104232 this_sequence A104234 A104235 
               A104236
%K A104233 nonn
%O A104233 1,1
%A A104233 Jack Brennen (jb(AT)brennen.net), Apr 01 2005