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Numbers which can be represented using fewer symbols than the number of decimal digits in the number.
0

%I #4 May 01 2013 21:05:53

%S 120,125,128,216,243,256,343,512,625,720,729,1000,1024,1089,1156,1225,

%T 1296,1331,1369,1444,1521,1600,1681,1728,1764,1849,1936,2025,2048,

%U 2116,2187,2197,2209,2304,2401,2500,2601,2704,2744,2809,2916,3025,3125,3136

%N Numbers which can be represented using fewer symbols than the number of decimal digits in the number.

%C The "up-arrow" symbol is free, since that is indicated by a superscript.

%C Additional terms are possible if the double factorial (!!) operator is permitted. [From _Sean A. Irvine_, Mar 14 2010]

%e 120=5!, 125=5^3, ..., 59050 = 9^5 + 1, ..., 1354984 = 9^6 + 7^7, ...

%K base,nonn

%O 1,1

%A _Alan Frank_, Feb 28 2009

%E Edited by _N. J. A. Sloane_, Mar 27 2009

%E Corrected and extended by _Sean A. Irvine_, Mar 14 2010