|
|
A221706
|
|
Kochanski approximates to sqrt(2) starting with R_0=3, S_0=2.
|
|
0
|
|
|
2, 4, 4, 15, 17, 77, 101, 119, 143, 250, 362, 1401, 31168, 88629, 184654, 259251, 298769, 4196069, 38538873, 616984562, 1975413034, 5345718056, 27843871196, 54516286512, 334398528973, 445879679625, 495957494385, 2450869042060, 2629541150528, 4088114099884
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
Definitions 1 and 2 of Fuks (2011) give formulas.
|
|
PROG
|
(PARI)
galpha(alpha, R, S) = {floor((alpha - floor(alpha))/(R - alpha*S)); }
fuks() = { n = 29; default(realprecision, 200); alpha = sqrt(2); R = 3; S = 2; x = galpha(alpha, R, S); print1(x, ", "); for (i=1, n, R = R*(x+1) + floor(alpha); S = S*(x+1) + 1; x = galpha(alpha, R, S); print1(x, ", "); ); }
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|