|
|
A157299
|
|
Decimal expansion of (82611+44030*sqrt(2))/233^2.
|
|
4
|
|
|
2, 6, 6, 8, 6, 5, 8, 9, 0, 2, 3, 7, 9, 6, 2, 3, 4, 0, 4, 3, 4, 9, 6, 5, 3, 7, 8, 8, 5, 5, 6, 6, 6, 9, 0, 5, 6, 3, 3, 5, 9, 5, 4, 8, 4, 6, 7, 0, 6, 4, 6, 0, 3, 0, 8, 0, 1, 7, 6, 3, 1, 7, 2, 7, 6, 7, 4, 7, 0, 2, 9, 9, 7, 4, 1, 5, 4, 3, 5, 4, 0, 9, 0, 2, 5, 4, 4, 8, 3, 0, 6, 9, 5, 8, 0, 5, 8, 8, 7, 8, 3, 6, 4, 3, 5
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
lim_{n -> infinity} b(n)/b(n-1) = (82611+44030*sqrt(2))/233^2 for n mod 3 = 0, b = A129625.
lim_{n -> infinity} b(n)/b(n-1) = (82611+44030*sqrt(2))/233^2 for n mod 3 = 1, b = A157297.
|
|
LINKS
|
|
|
FORMULA
|
(82611+44030*sqrt(2))/233^2 = (370+119*sqrt(2))/(370-119*sqrt(2))
= (3+2*sqrt(2))*(22-3*sqrt(2))^2/(22+3*sqrt(2))^2.
|
|
EXAMPLE
|
(82611+44030*sqrt(2))/233^2 = 2.66865890237962340434...
|
|
MATHEMATICA
|
RealDigits[(82611+44030Sqrt[2])/233^2, 10, 120][[1]] (* Harvey P. Dale, Feb 25 2014 *)
|
|
PROG
|
(Magma) (82611+44030*Sqrt(2))/233^2; // G. C. Greubel, Mar 29 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|