

A112318


a(n) = greatest integer p such that n^p + (n+1)^p + (n+2)^p > (n+3)^p.


0



0, 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 7, 8, 9, 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 15, 16, 17, 17, 18, 18, 19, 20, 20, 21, 21, 22, 23, 23, 24, 24, 25, 26, 26, 27, 28, 28, 29, 29, 30, 31, 31, 32, 32, 33, 34, 34, 35, 35, 36, 37, 37, 38, 39, 39, 40, 40, 41, 42, 42, 43, 43, 44, 45, 45
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OFFSET

0,3


COMMENTS

These occur once: 0,1,3,5,8,11,13,16,19,22,...


LINKS

Table of n, a(n) for n=0..73.


EXAMPLE

a(6) = 4: 6^4 + 7^4 + 8^4 > 9^4,
but 6^5 + 7^5 + 8^5 < 9^5.


CROSSREFS

Cf. A111660.
Sequence in context: A096532 A077773 A076370 * A078489 A194179 A101803
Adjacent sequences: A112315 A112316 A112317 * A112319 A112320 A112321


KEYWORD

nonn


AUTHOR

Clark Kimberling, Sep 03 2005


STATUS

approved



