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A160204 Decimal expansion of (873+232*sqrt(2))/809. 4
1, 4, 8, 4, 6, 6, 9, 4, 0, 2, 3, 1, 2, 1, 8, 5, 4, 7, 7, 5, 3, 0, 2, 7, 4, 1, 4, 5, 8, 7, 9, 6, 6, 6, 1, 9, 8, 0, 5, 7, 0, 6, 2, 8, 8, 6, 3, 8, 7, 4, 5, 6, 0, 6, 0, 5, 4, 0, 1, 6, 0, 3, 2, 0, 4, 1, 2, 6, 6, 9, 8, 8, 2, 5, 7, 5, 0, 4, 1, 8, 2, 0, 7, 8, 2, 8, 0, 5, 8, 1, 9, 4, 8, 5, 8, 0, 0, 7, 9, 7, 1, 2, 5, 4, 9 (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 = {1, 2}, b = A123654.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160203.
LINKS
FORMULA
Equals (29+4*sqrt(2))/(29-4*sqrt(2)).
EXAMPLE
(873+232*sqrt(2))/809 = 1.48466940231218547753...
MATHEMATICA
RealDigits[(873+232Sqrt[2])/809, 10, 120][[1]] (* Harvey P. Dale, Mar 22 2018 *)
PROG
(PARI) (873+232*sqrt(2))/809 \\ G. C. Greubel, Apr 25 2018
(Magma) (873+232*Sqrt(2))/809; // G. C. Greubel, Apr 25 2018
CROSSREFS
Cf. A123654, A160203, A002193 (decimal expansion of sqrt(2)), A160205 (decimal expansion of (989043+524338*sqrt(2))/809^2).
Sequence in context: A082632 A296481 A155874 * A200392 A195289 A247318
KEYWORD
cons,nonn
AUTHOR
Klaus Brockhaus, May 18 2009
STATUS
approved

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Last modified March 28 14:02 EDT 2024. Contains 371254 sequences. (Running on oeis4.)