Search: id:A113009
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%I A113009
%S A113009 0,1,2,3,4,5,6,7,8,9,1,4,9,16,25,36,49,64,81,100,4,9,16,25,36,49,64,81,
%T A113009 100,121,9,16,25,36,49,64,81,100,121,144,16,25,36,49,64,81,100,121,144,
%U A113009 169,25,36,49,64,81,100,121,144,169,196,36,49,64,81,100,121,144,169,196
%N A113009 {Sum of the digits of n} raised to the power {number of digits of n}.
%C A113009 Fixed points are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 81, 5832. Are there any 
               others?
%F A113009 a(ijk...)[m digits ijk...]=(i+j+k)^m
%e A113009 a(9)=9^1=9
%e A113009 a(19)=(1+9)^2=100
%e A113009 a(101)=(1+0+1)^3=8
%Y A113009 Cf. A101337.
%Y A113009 Sequence in context: A138470 A112875 A113018 this_sequence A068064 A152147 
               A067032
%Y A113009 Adjacent sequences: A113006 A113007 A113008 this_sequence A113010 A113011 
               A113012
%K A113009 base,easy,nonn
%O A113009 0,3
%A A113009 Alexandre Wajnberg (alexandre.wajnberg(AT)skynet.be), Jan 03 2006

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