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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; 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.

EXAMPLE

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

CROSSREFS

Cf. A057897, A057899.

Sequence in context: A157128 A194086 A164659 * A094293 A036036 A076259

Adjacent sequences:  A057895 A057896 A057897 * A057899 A057900 A057901

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Sep 26 2000

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Last modified February 13 21:09 EST 2012. Contains 205561 sequences.