A088341 Numbers n such that frac(x^n)=frac(x^2*frac(x^(n-2))) where x=3/2 and frac(x) denotes the fractional part of x.

0, 1, 18, 21, 28, 38, 42, 45, 46, 49, 51, 52, 56, 58, 62, 69, 74, 77, 79, 81, 82, 83, 86, 88, 93, 101, 103, 104, 107, 110, 113, 125, 128, 136, 140, 147, 158, 159, 164, 165, 173, 178, 180, 190, 193, 195, 196, 197, 198, 200, 203, 206, 210, 217, 218, 231, 233, 238, 241

Offset

1,3

Links

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

Formula

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.

Crossrefs

Sequence in context: A217058 A172052 A001101 * A105145 A244603 A120416

Adjacent sequences: A088338 A088339 A088340 * A088342 A088343 A088344

Keyword

nonn

Author

Benoit Cloitre, Nov 07 2003

Status

approved