1,3

Table of n, a(n) for n=1..59.

a(n) appears to be asymptotic to 4*n.

More generally the sequence (a(k)) of k such that frac(x^k)=frac(x^m*frac(x^(k-m))) for x=p/q>1 rational and m fixed integer appears to be asymptotic to q^m*k.

Sequence in context: A217058 A172052 A001101 * A105145 A244603 A120416

Adjacent sequences: A088338 A088339 A088340 * A088342 A088343 A088344

nonn

Benoit Cloitre, Nov 07 2003

approved