|
|
A159703
|
|
Decimal expansion of (2487411+1629850*sqrt(2))/967^2.
|
|
4
|
|
|
5, 1, 2, 5, 0, 3, 8, 3, 3, 8, 2, 0, 5, 0, 1, 4, 6, 7, 2, 7, 0, 9, 6, 9, 1, 1, 2, 7, 9, 6, 0, 2, 0, 1, 0, 2, 1, 8, 8, 8, 5, 8, 9, 9, 6, 9, 5, 9, 9, 8, 1, 2, 2, 2, 8, 6, 4, 0, 2, 8, 0, 7, 3, 3, 6, 6, 7, 2, 7, 1, 5, 9, 6, 6, 3, 0, 3, 3, 6, 9, 5, 9, 6, 5, 8, 7, 1, 0, 6, 9, 2, 5, 9, 0, 6, 5, 8, 8, 7, 5, 5, 9, 5, 9, 7
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130017.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159701.
|
|
LINKS
|
|
|
FORMULA
|
Equals (1850 +881*sqrt(2))/(1850 -881*sqrt(2)).
Equals (3 +2*sqrt(2))*(44 -sqrt(2))^2/(44 +sqrt(2))^2.
|
|
EXAMPLE
|
(2487411+1629850*sqrt(2))/967^2 = 5.12503833820501467270...
|
|
MATHEMATICA
|
RealDigits[(2487411+1629850*Sqrt[2])/967^2, 10, 100][[1]] (* G. C. Greubel, May 22 2018 *)
|
|
PROG
|
(PARI) (2487411 +1629850*sqrt(2))/967^2 \\ _G. c. Greubel_, May 22 2018
(Magma) (2487411 +1629850*Sqrt(2))/967^2; // G. C. Greubel, May 22 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|