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A160575
Decimal expansion of (363+130*sqrt(2))/313.
4
1, 7, 4, 7, 1, 1, 7, 4, 5, 4, 0, 2, 0, 7, 7, 4, 3, 0, 1, 4, 1, 9, 2, 3, 1, 7, 3, 8, 4, 8, 9, 6, 5, 0, 9, 5, 9, 1, 5, 0, 3, 4, 2, 9, 5, 1, 4, 3, 4, 5, 1, 5, 1, 7, 4, 1, 6, 2, 8, 3, 8, 2, 2, 9, 8, 3, 6, 4, 0, 6, 4, 6, 0, 7, 0, 3, 1, 1, 1, 5, 4, 9, 6, 8, 2, 2, 6, 9, 5, 8, 2, 9, 4, 7, 5, 8, 2, 7, 6, 1, 8, 3, 8, 8, 2
OFFSET
1,2
COMMENTS
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129640.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160574.
LINKS
FORMULA
Equals (26+5*sqrt(2))/(26-5*sqrt(2)).
EXAMPLE
(363+130*sqrt(2))/313 = 1.74711745402077430141...
MATHEMATICA
RealDigits[(363 +130*Sqrt[2])/313, 10, 100][[1]] (* G. C. Greubel, Apr 08 2018 *)
PROG
(PARI) (363 +130*sqrt(2))/313 \\ G. C. Greubel, Apr 08 2018
(Magma) (363 +130*Sqrt(2))/313; // G. C. Greubel, Apr 08 2018
CROSSREFS
Cf. A129640, A160574, A002193 (decimal expansion of sqrt(2)), A160576 (decimal expansion of (119187+47998*sqrt(2))/313^2).
Sequence in context: A085665 A176434 A027625 * A194361 A153586 A319883
KEYWORD
cons,nonn
AUTHOR
Klaus Brockhaus, Jun 08 2009
STATUS
approved