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A046253 Equal to the sum of its nonzero digits raised to its own power. 6
0, 1, 3435, 438579088 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

A variant of Munchausen numbers. Cf. A166623.

REFERENCES

J. S. Madachy, "Madachy's Mathematical Recreations", Dover N.Y., pp. 163-175.

C. A. Pickover, "Keys to Infinity", Wiley 1995, Ch. 22, pp. 169-171.

David Wells, "Curious and Interesting Numbers", Penguin 1988, pp. 169, 190.

LINKS

Table of n, a(n) for n=1..4.

Daan van Berkel, On a curious property of 3435, arXiv:0911.3038 [math.HO], 2009.

Eric Weisstein's World of Mathematics, Münchhausen Number.

EXAMPLE

3435 = 3^3 + 4^4 + 3^3 + 5^5.

CROSSREFS

Cf. A032799, A166623.

Sequence in context: A172708 A244170 A245792 * A031824 A254093 A254086

Adjacent sequences:  A046250 A046251 A046252 * A046254 A046255 A046256

KEYWORD

nonn,fini,full,base

AUTHOR

Patrick De Geest, May 15 1998

STATUS

approved

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Last modified December 11 08:51 EST 2016. Contains 279052 sequences.