A107577 a(n)=greatest integer p such that a^p + b^p > c^p, where (a,b,c) is the n-th integer-sided triangle listed at A107572.

1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 1, 1, 1, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1

Offset

1,3

Links

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

Example

The first such triangle is (2,3,4), for which 2^1 + 3^1 > 4^1 but 2^2 + 3^2 <= 4^2, so a(1)=1.

Crossrefs

Cf. A107572.

Sequence in context: A204897 A262618 A347447 * A073700 A226957 A108775

Adjacent sequences: A107574 A107575 A107576 * A107578 A107579 A107580

Keyword

nonn

Author

Clark Kimberling, May 16 2005

Status

approved