A057899 Smallest positive integer such that n=a(n)^k-k with k a positive integer.

2, 2, 4, 5, 2, 7, 3, 9, 10, 11, 12, 2, 14, 4, 16, 17, 18, 19, 20, 21, 22, 23, 5, 3, 26, 27, 2, 29, 30, 31, 32, 33, 34, 6, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 7, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 2, 60, 61, 4, 8, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76

Offset

1,1

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..75.

Formula

a(n) = (n+A057898(n))^(1/A057898(n)).

Example

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

Crossrefs

Cf. A057897, A057898.

Sequence in context: A201509 A109295 A211188 * A210200 A119989 A137605

Adjacent sequences: A057896 A057897 A057898 * A057900 A057901 A057902

Keyword

nonn

Author

Henry Bottomley, Sep 26 2000

Status

approved