|
|
A040866
|
|
Continued fraction for sqrt(896).
|
|
1
|
|
|
29, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
Multiplicative with a(2) = 13, a(2^e) = 58 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 3/2^(s-2) + 45/2^(2*s)). (End)
|
|
MAPLE
|
with(numtheory): Digits := 300: convert(evalf(sqrt(896)), confrac);
|
|
MATHEMATICA
|
ContinuedFraction[Sqrt[896], 100] (* or *) PadRight[{29}, 100, {58, 1, 13, 1}] (* Harvey P. Dale, Mar 14 2014 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,cofr,easy,mult
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|