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Numbers that raised to any exponent do not produce a number whose sum of digits is equal to the initial number.
4

%I #25 May 19 2017 03:03:44

%S 10,11,12,13,14,15,16,19,21,23,24,29,30,32,33,37,38,39,41,42,44,47,48,

%T 49,50,51,52,55,56,57,59,60,61,62,65,66,67,69,70,72,73,74,75,76,77,78,

%U 79,83,84,87,88,89,92,93,95,96,99,100,101,102,105

%N Numbers that raised to any exponent do not produce a number whose sum of digits is equal to the initial number.

%C Complement of A124359. Numbers for which A247889 is zero.

%C Most of the values are conjectural, so far not much is really proved about the function A247889. - _M. F. Hasler_ and _Robert Israel_, May 18 2017

%o (PARI) for(n=0,199,if(!A247889(n),print1(n,", "))) \\ _Derek Orr_, Sep 25 2014, edited by _M. F. Hasler_, May 18 2017

%Y Cf. A124359, A124360, A046019, A124365, A124366, A247889.

%K nonn,base

%O 1,1

%A _Paolo P. Lava_ and _Giorgio Balzarotti_, Oct 30 2006

%E 106 removed by _Robert Israel_, May 18 2017