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Search: id:A003321
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| A003321 |
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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.
(Formerly M5403)
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+0
18
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| 2, 0, 153, 1634, 4150, 548834, 1741725, 24678050, 146511208, 4679307774, 32164049650, 0, 564240140138, 28116440335967, 0, 4338281769391370, 233411150132317, 0, 1517841543307505039, 63105425988599693916
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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M. Gardner, The Magic Numbers of Dr Matrix. Prometheus, Buffalo, NY, 1985, p. 249.
J. S. Madachy, Mathematics on Vacation, Thomas Nelson and Sons Ltd. 1966, p. 164.
J. S. Madachy, Madachy's Mathematical Recreations, Dover, p. 164.
C. A. Pickover, Keys to Infinity. New York: W. H. Freeman, pp. 169-170, 1995.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Joseph Myers, Table of n, a(n) for n=1..109
L. E. Deimel, Narcissistic Numbers
H. Heinz, Narcissistic Numbers
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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EXAMPLE
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2*2^17+4*3^17+4^17+5+5^17+7^17 = 233411150132317.
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CROSSREFS
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Cf. A001694, A007532, A005934, A005188, A014576, A023052, A046074, A046761.
In other bases: A033835 (base 3), A033836 (base 4), A033837 (base 5), A033838 (base 6), A033839 (base 7), A033840 (base 8), A033841 (base 9).
Sequence in context: A033838 A046065 A013554 this_sequence A012333 A012329 A064156
Adjacent sequences: A003318 A003319 A003320 this_sequence A003322 A003323 A003324
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KEYWORD
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nonn,base,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Additional comments from Lekraj Beedassy (blekraj(AT)yahoo.com), May 23 2001
Extended and cross-references edited by Joseph Myers (jsm(AT)polyomino.org.uk), Jun 28 2009
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