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A046471 Total of 'known' numbers > 1 equal to the sum of digits after numbers are raised to power n (n=2,3,...). +0
3
1, 5, 5, 4, 4, 8, 3, 3, 6, 3, 1, 11, 5, 7, 6, 4, 2, 9, 3, 3, 7, 3, 3, 13, 4, 2, 6, 5, 1, 10, 1, 7, 3, 5, 2, 8, 2, 2, 6, 1, 4, 9, 5, 3, 8, 8, 4, 11, 1, 3, 4, 4, 5, 2, 1, 6, 3, 4, 4, 5, 2, 3, 4, 4, 3, 8, 1, 5, 3, 2, 2, 5, 4, 5, 3, 3, 4, 8, 4, 2, 4, 4, 1, 5, 2, 6, 6, 3, 2, 7, 3, 3, 8, 5, 1, 7, 1, 4, 5, 2, 3, 9 (list; graph; listen)
OFFSET

1,2

COMMENT

Offset 1 because power 1 yields infinitely many natural numbers.

'known' because the finiteness is still a conjecture ?

REFERENCES

Joe Roberts, "Lure of the Integers", The Mathematical Association of America, 1992, p. 172.

EXAMPLE

a(16)=4 -> sum-of-digits{x^17}=x for x=80,143,171 and 216 (x>1).

CROSSREFS

Cf. A046459, A046469, A046000.

Adjacent sequences: A046468 A046469 A046470 this_sequence A046472 A046473 A046474

Sequence in context: A110986 A019927 A019805 this_sequence A094245 A117191 A011189

KEYWORD

nonn

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Aug 15 1998.

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.


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