OFFSET
1,3
COMMENTS
What is the rate of growth of this sequence?
Numerically, it seems to be linear with coefficient around 0.58. [Charles R Greathouse IV, Jul 29 2011]
REFERENCES
S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 192-199.
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
Steven R. Finch, Powers of 3/2 Modulo One [From Steven Finch, Apr 20 2019]
Steven R. Finch, Non-Ideal Waring's Problem [From Steven Finch, Apr 20 2019]
Jeff Lagarias, 3x+1 Problem
EXAMPLE
a(3) = 3 since frac((3/2)^n) = [0;2,1,2] has 3 terms (2,1,2).
PROG
(PARI) a(n)=my(x=(3/2)^n); #contfrac(x-floor(x))-1 \\ Charles R Greathouse IV, Jul 29 2011
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jun 11 2002
STATUS
approved