Search: id:A101335
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%I A101335
%S A101335 136,244,2178,6514,58618,76438,2755907,6586433,8139850,9057586
%N A101335 n-digit numbers not equal to sum of k-th powers of their digits (A005188), 
               but equal to the sum of k-th powers of their digits nested once.
%D A101335 Ken Follett, Code to Zero, Dutton, NY 2000, p. 84.
%F A101335 Let n = d_1 d_2 ... d_k in base 10; then f(n) = Sum_{i=1..k} d_i^k. a(n) 
               # f(a(n)) but a(n) = f(f(a(n))).
%e A101335 1^3+3^3+6^3=244 => 2^3+4^3+4^3=136.
%t A101335 f[n_] := Plus @@ (IntegerDigits[n]^Floor[Log[10, n] + 1]); Do[ lst = 
               NestList[f, n, 2]; If[lst[[1]] == lst[[3]] != lst[[2]], Print[n]], 
               {n, 110000000}] (from Robert G. Wilson v (rgwv(AT)rgwv.com), May 
               21 2005)
%Y A101335 Cf. A005188.
%Y A101335 Sequence in context: A072889 A157714 A165337 this_sequence A098215 A116223 
               A124241
%Y A101335 Adjacent sequences: A101332 A101333 A101334 this_sequence A101336 A101337 
               A101338
%K A101335 nonn,base
%O A101335 1,1
%A A101335 Allyson A. Wilson (Foxtail(AT)southwind.net), May 04 2005

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