A111660 a(n) = greatest integer p for which n^p + (n+1)^p > (n+2)^p.

0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 33, 33, 34, 34, 35, 35, 36, 36

Offset

0,5

Comments

These occur thrice: 15,28,41,54,...

Links

Table of n, a(n) for n=0..75.

Example

a(3)=1 because 3+4>5 but 9+16 is not > 25.

Prog

(Python)
from itertools import count
def A111660(n): return next(p for p in count(1) if n**p+(n+1)**p <= (n+2)**p)-1 # Chai Wah Wu, Sep 08 2025

Crossrefs

Sequence in context: A034888 A320467 A086388 * A244325 A168050 A001057

Adjacent sequences: A111657 A111658 A111659 * A111661 A111662 A111663

Keyword

nonn

Author

Clark Kimberling, Aug 13 2005

Status

approved