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A057898 Largest number such that n = m^a(n) - a(n) with m a positive integer; i.e., where (n + a(n))^(1/a(n)) is a positive integer. 2
1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 1, 4, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

It may be that positive integers can be written as n = m^k - k (with m and k > 1) in at most one way [checked up to 10000] as well as with k = 1 and m = n+1.

LINKS

Table of n, a(n) for n=1..105.

EXAMPLE

a(5)=3 since 5 = 2^3 - 3.

CROSSREFS

Cf. A057897, A057899.

Sequence in context: A240850 A194086 A164659 * A094293 A036036 A228531

Adjacent sequences:  A057895 A057896 A057897 * A057899 A057900 A057901

KEYWORD

nonn

AUTHOR

Henry Bottomley, Sep 26 2000

STATUS

approved

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Last modified July 23 14:11 EDT 2019. Contains 325254 sequences. (Running on oeis4.)