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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 15 18:29 EST 2019. Contains 329149 sequences. (Running on oeis4.)