A014576 Smallest n-digit narcissistic (or Armstrong) number: smallest n-digit number equal to sum of n-th powers of its digits (or 0 if no such number exists).

1, 0, 153, 1634, 54748, 548834, 1741725, 24678050, 146511208, 4679307774, 32164049650, 0, 0, 28116440335967, 0, 4338281769391370, 21897142587612075, 0, 1517841543307505039, 63105425988599693916, 128468643043731391252, 0

Offset

1,3

References

M. Gardner, The Magic Numbers of Dr Matrix. Prometheus, Buffalo, NY, 1985, p. 249.

C. A. Pickover, Keys to Infinity. New York: W. H. Freeman, pp. 169-170, 1995.

Links

T. D. Noe, Table of n, a(n) for n=1..39 (complete sequence)

Harvey Heinz, Narcissistic Numbers

Mike Keith, Wild Narcissistic Numbers (Copy as of May 2008 on web.archive.org - page does not exist any more.)

Eric Weisstein's World of Mathematics, Narcissistic Number.

Mathematica

(* This program is not suitable for more than 10 terms *) a[n_] := For[k = 10^(n-1), True, k++, If[k > 10^n - 1, Return[0], If[k == Total[ IntegerDigits[k]^IntegerLength[k] ], Return[k] ] ] ]; Table[ Print[an = a[n]]; an, {n, 1, 10}] (* Jean-François Alcover, Oct 15 2013 *)

Crossrefs

Cf. A001694, A007532, A005934, A005188, A003321, A023052, A046074.

Sequence in context: A193249 A050209 A109142 * A087414 A184369 A073938

Adjacent sequences: A014573 A014574 A014575 * A014577 A014578 A014579

Keyword

nonn,base,fini,full,nice,changed

Author

N. J. A. Sloane

Extensions

Terms and links added by Patrick De Geest, Oct 1998

Broken links fixed by M. F. Hasler, Feb 12 2013

Status

approved