Search: id:A023052
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%I A023052
%S A023052 0,1,2,3,4,5,6,7,8,9,153,370,371,407,1634,4150,4151,8208,9474,54748,
%T A023052 92727,93084,194979,548834,1741725,4210818,9800817,9926315,14459929,
%U A023052 24678050,24678051,88593477,146511208,472335975,534494836,912985153
%N A023052 Powerful numbers (3): numbers n that are the sum of some fixed power 
               of their digits.
%C A023052 Let n = d_1 d_2 ... d_k in base 10; then n = Sum_{i=1..k} d_i^s for some 
               s.
%C A023052 Superset of A005188, A046197 (s=3), A052455 (s=4), A052464 (s=5), A124068 
               (s=6,7), A124069 (s=8). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Jun 15 2009, Jun 22 2009]
%D A023052 J. Randle, Powerful numbers, Note 3208, Math. Gaz. 52 (1968), 383.
%H A023052 Joseph Myers, <a href="b023052.txt">Table of n, a(n) for n=1..255</a>
%H A023052 <a href="Sindx_Pow.html#powerful">Index entries for sequences related 
               to powerful numbers</a>
%H A023052 Hans Havermann, <a href="a023052.txt">Extended table of values for A023052 
               and A046074</a>
%H A023052 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               NarcissisticNumber.html">Link to a section of The World of Mathematics.</
               a>
%e A023052 153 = 1^3 + 5^3 + 3^3, 4210818 = 4^7 + 2^7 + 1^7 + 0^7 + 8^7 + 1^7 + 
               8^7.
%Y A023052 Cf. A001694, A007532, A005934, A003321, A014576, A046074, A046761, A053540, 
               A161752.
%Y A023052 Similar to but different from A005188.
%Y A023052 In other bases: A162216 (base 3), A162219 (base 4), A162222 (base 5), 
               A162225 (base 6), A162228 (base 7), A162231 (base 8), A162234 (base 
               9).
%Y A023052 Sequence in context: A001104 A151544 A032561 this_sequence A005188 A032569 
               A039723
%Y A023052 Adjacent sequences: A023049 A023050 A023051 this_sequence A023053 A023054 
               A023055
%K A023052 nonn,base,nice
%O A023052 1,3
%A A023052 David W. Wilson (davidwwilson(AT)comcast.net)
%E A023052 Computed to 10^50 by G. N. Gusev (GGN(AT)rm.yaroslavl.ru)
%E A023052 Computed to 10^74 by Xiaoqing Tang
%E A023052 A-number typo corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Jun 22 2009
%E A023052 Computed to 10^105 by Joseph Myers
%E A023052 Cross-references edited by Joseph Myers (jsm(AT)polyomino.org.uk), Jun 
               28 2009

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