login
A090397
Number of terms in simple continued fraction for (3/2)^n.
1
1, 2, 2, 4, 2, 5, 7, 6, 10, 8, 8, 5, 8, 13, 7, 10, 13, 10, 11, 10, 14, 19, 15, 13, 12, 13, 16, 17, 15, 11, 17, 24, 21, 29, 23, 18, 23, 24, 26, 31, 28, 26, 29, 31, 24, 31, 28, 26, 20, 18, 18, 23, 30, 33, 36, 36, 31, 33, 38, 37, 35, 37, 29, 40, 43, 45, 39, 37, 40, 39, 42, 47, 41, 33
OFFSET
0,2
REFERENCES
S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 156.
LINKS
FORMULA
Conjecture : a(n) is asymptotic to c*n where c=12*(log(2)/Pi)^2=log(2)*Levy's constant=0.58416081665664902187922697....
MATHEMATICA
Table[Length[ContinuedFraction[(3/2)^n]], {n, 0, 100}] (* G. C. Greubel, Mar 23 2017 *)
PROG
(PARI) a(n)=length(contfrac((3/2)^n))
CROSSREFS
Cf. A089729.
Sequence in context: A286280 A290088 A179013 * A339176 A328729 A349441
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Jan 31 2004
STATUS
approved