Search: id:A003321
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%I A003321 M5403
%S A003321 2,0,153,1634,4150,548834,1741725,24678050,146511208,4679307774,
%T A003321 32164049650,0,564240140138,28116440335967,0,4338281769391370,
%U A003321 233411150132317,0,1517841543307505039,63105425988599693916
%N A003321 Smallest n-th order perfect digital invariant or PDI: smallest number 
               > 1 equal to sum of n-th powers of its digits, or 0 if no such number.
%D A003321 M. Gardner, The Magic Numbers of Dr Matrix. Prometheus, Buffalo, NY, 
               1985, p. 249.
%D A003321 J. S. Madachy, Mathematics on Vacation, Thomas Nelson and Sons Ltd. 1966, 
               p. 164.
%D A003321 J. S. Madachy, Madachy's Mathematical Recreations, Dover, p. 164.
%D A003321 C. A. Pickover, Keys to Infinity. New York: W. H. Freeman, pp. 169-170, 
               1995.
%D A003321 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A003321 Joseph Myers, <a href="b003321.txt">Table of n, a(n) for n=1..109</a>
%H A003321 L. E. Deimel, <a href="http://www.deimel.org/rec_math/DI_1.htm">Narcissistic 
               Numbers</a>
%H A003321 H. Heinz, <a href="http://www.geocities.com/CapeCanaveral/Launchpad/4057/
               narciss.htm#PDIs">Narcissistic Numbers</a>
%H A003321 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 A003321 2*2^17+4*3^17+4^17+5+5^17+7^17 = 233411150132317.
%Y A003321 Cf. A001694, A007532, A005934, A005188, A014576, A023052, A046074, A046761.
%Y A003321 In other bases: A033835 (base 3), A033836 (base 4), A033837 (base 5), 
               A033838 (base 6), A033839 (base 7), A033840 (base 8), A033841 (base 
               9).
%Y A003321 Sequence in context: A033838 A046065 A013554 this_sequence A012333 A012329 
               A064156
%Y A003321 Adjacent sequences: A003318 A003319 A003320 this_sequence A003322 A003323 
               A003324
%K A003321 nonn,base,nice
%O A003321 1,1
%A A003321 N. J. A. Sloane (njas(AT)research.att.com).
%E A003321 Additional comments from Lekraj Beedassy (blekraj(AT)yahoo.com), May 
               23 2001
%E A003321 Extended and cross-references edited by Joseph Myers (jsm(AT)polyomino.org.uk), 
               Jun 28 2009

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