A065564 Numbers k such that floor((4/3)^(k+1))/floor((4/3)^k) = 4/3.

4, 13, 18, 20, 21, 23, 24, 34, 44, 45, 49, 56, 60, 63, 65, 66, 67, 79, 81, 83, 85, 88, 94, 102, 107, 109, 119, 125, 126, 129, 131, 132, 133, 135, 138, 139, 144, 161, 162, 164, 172, 174, 175, 190, 194, 199, 204, 217, 218, 233, 234, 240, 249, 250, 253, 255, 258

Offset: 1

Author

Benoit Cloitre, Nov 30 2001

Keywords

• nonn

Links

• Harry J. Smith, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A064628, A065554.

Programs

PARI

isok(k) = { my(f=4/3); floor(f^(k + 1))/floor(f^k) == f } \\ Harry J. Smith, Oct 22 2009

Formula

Lim_{n->infinity} a(n)/n = 4?

Extensions

a(55)-a(57) corrected by Harry J. Smith, Oct 22 2009