|
|
A160579
|
|
Decimal expansion of (204819+83570*sqrt(2))/409^2.
|
|
4
|
|
|
1, 9, 3, 0, 9, 1, 1, 6, 2, 4, 1, 9, 8, 3, 2, 2, 3, 0, 3, 3, 5, 9, 9, 5, 7, 9, 5, 5, 0, 7, 0, 8, 3, 5, 7, 1, 0, 1, 2, 8, 8, 6, 9, 8, 5, 7, 4, 5, 6, 9, 2, 3, 0, 8, 4, 3, 6, 3, 2, 8, 7, 6, 7, 5, 8, 5, 0, 1, 2, 9, 5, 0, 2, 0, 0, 6, 0, 7, 5, 3, 1, 7, 7, 9, 8, 9, 5, 4, 3, 7, 1, 6, 4, 8, 6, 6, 9, 0, 4, 3, 3, 0, 7, 1, 6
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A129641.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A160577.
|
|
LINKS
|
|
|
FORMULA
|
Equals (610+137*sqrt(2))/(610-137*sqrt(2)).
Equals (3+2*sqrt(2))*(42-8*sqrt(2))^2/(42+8*sqrt(2))^2.
|
|
EXAMPLE
|
(204819+83570*sqrt(2))/409^2 = 1.93091162419832230335...
|
|
MATHEMATICA
|
RealDigits[(204819+83570*Sqrt[2])/409^2, 10, 120][[1]] (* Harvey P. Dale, Jul 16 2013 *)
|
|
PROG
|
(PARI) (204819 +83570*sqrt(2))/409^2 \\ G. C. Greubel, Apr 08 2018
(Magma) (204819 +83570*Sqrt(2))/409^2; // G. C. Greubel, Apr 08 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|