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

1,1

Links

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

Formula

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

Prog

(PARI) { n=0; f=4/3; for (m=1, 10^9, if ((floor(f^(m + 1))/floor(f^m)) == f, write("b065564.txt", n++, " ", m); if (n==1000, return)) ) } \\ Harry J. Smith, Oct 22 2009

Crossrefs

Cf. A064628, A065554.

Sequence in context: A154130 A041407 A252976 * A332377 A268720 A191253

Adjacent sequences: A065561 A065562 A065563 * A065565 A065566 A065567

Keyword

nonn

Author

Benoit Cloitre, Nov 30 2001

Extensions

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

Status

approved