%I A113018
%S A113018 0,1,2,3,4,5,6,7,8,9,1,4,9,16,25,36,49,64,81,1,4,9,16,25,36,49,64,81,1,
%T A113018 4,9,16,25,36,49,64,81,1,4,9,16,25,36,49,64,81,1,4,9,16,25,36,49,64,81,
%U A113018 1,4,9,16,25,36,49,64,81,1,4,9,16,25,36,49,64,81,1,4,9,16,25,36,49,64
%N A113018 {Digital root of n} raised to the power {number of digits of n}.
%C A113018 Fixed points are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and 81.
%F A113018 a(ijk...)[m digits ijk...]=(i+j+k+...)[1 digit]^m
%e A113018 a(9)=9^1=9
%e A113018 a(19)=(1+9=10 => 1+0) = 1^2=1
%e A113018 a(85)=(8+5=13 => 1+3) = 4^2=16
%Y A113018 Cf. A101337.
%Y A113018 Sequence in context: A061486 A138470 A112875 this_sequence A113009 A068064 
               A152147
%Y A113018 Adjacent sequences: A113015 A113016 A113017 this_sequence A113019 A113020 
               A113021
%K A113018 base,easy,nonn
%O A113018 0,3
%A A113018 Alexandre Wajnberg (alexandre.wajnberg(AT)skynet.be), Jan 03 2006