|
| |
|
|
A157216
|
|
Decimal expansion of (18 + 5*sqrt(2))/(18 - 5*sqrt(2)).
|
|
5
|
|
|
|
2, 2, 9, 4, 0, 0, 8, 9, 0, 9, 5, 8, 8, 1, 6, 4, 6, 3, 0, 5, 9, 9, 6, 4, 9, 5, 2, 6, 8, 5, 3, 0, 8, 6, 3, 2, 8, 9, 8, 7, 3, 7, 5, 6, 8, 4, 5, 5, 4, 1, 9, 9, 4, 6, 4, 1, 3, 0, 6, 6, 5, 5, 2, 1, 3, 0, 7, 7, 8, 0, 4, 6, 0, 3, 0, 3, 5, 7, 3, 9, 6, 7, 1, 2, 7, 9, 9, 1, 8, 1, 0, 8, 7, 2, 1, 7, 3, 2, 9, 5, 9, 5, 7, 3, 0
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
lim_{n -> infinity} b(n)/b(n-1) = (18+5*sqrt(2))/(18-5*sqrt(2)) for n mod 3 = {1, 2}, b = A129544.
lim_{n -> infinity} b(n)/b(n-1) = (18+5*sqrt(2))/(18-5*sqrt(2)) for n mod 3 = {0, 2}, b = A157213.
|
|
|
LINKS
|
|
|
|
EXAMPLE
|
(18 + 5*sqrt(2))/(18 - 5*sqrt(2)) = 2.29400890958816463059...
|
|
|
MATHEMATICA
|
With[{c=5Sqrt[2]}, RealDigits[(18+c)/(18-c), 10, 120][[1]]] (* Harvey P. Dale, Dec 13 2011 *)
|
|
|
PROG
|
(PARI) (18+5*sqrt(2))/(18-5*sqrt(2)) \\ G. C. Greubel, Jan 27 2018
(Magma) (18+5*Sqrt(2))/(18-5*Sqrt(2)) // G. C. Greubel, Jan 27 2018
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
