|
| |
|
|
A040003
|
|
Continued fraction for sqrt(6).
|
|
4
|
|
|
|
2, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,1
|
|
|
LINKS
|
|
|
|
FORMULA
|
a(n-1) = gcd(2^n, 3^n+1) (empirical). - Michel Marcus, Sep 03 2020
|
|
|
EXAMPLE
|
2.449489742783178098197284074... = 2 + 1/(2 + 1/(4 + 1/(2 + 1/(4 + ...)))). - Harry J. Smith, Jun 01 2009
|
|
|
MAPLE
|
Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
|
|
|
MATHEMATICA
|
|
|
|
PROG
|
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(6)); for (n=0, 20000, write("b040003.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 01 2009
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn,cofr,easy
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
