|
|
A071337
|
|
Product of terms of continued fraction expansion of (3/2)^n.
|
|
2
|
|
|
2, 4, 4, 16, 12, 12, 33, 12, 120, 134, 1818, 1728, 192, 9464, 9792, 5400, 46080, 62464, 252000, 66528, 16128, 182400, 631104, 4104000, 11289600, 10368000, 6002304, 48117888, 305910000, 39280640, 5686200, 152409600, 1866240, 233625600
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
What is the rate of growth of this sequence?
|
|
REFERENCES
|
S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 192-199.
|
|
LINKS
|
|
|
EXAMPLE
|
a(3) = 4 since frac((3/2)^3) = [0;2,1,2] and a(3) = 2 * 1 * 2.
|
|
PROG
|
(PARI) a(n) = {cf = contfrac((3/2)^n); return (prod(i=2, #cf, cf[i])); } \\ Michel Marcus, Aug 01 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|