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A160201
Decimal expansion of (1003+462*sqrt(2))/761.
4
2, 1, 7, 6, 5, 6, 5, 9, 2, 0, 9, 1, 5, 0, 7, 2, 1, 5, 8, 4, 0, 5, 2, 3, 0, 2, 1, 1, 0, 1, 8, 2, 3, 9, 8, 3, 2, 1, 9, 3, 4, 1, 4, 4, 6, 3, 1, 0, 6, 6, 3, 6, 0, 1, 8, 1, 4, 4, 0, 5, 5, 2, 4, 1, 7, 2, 3, 6, 7, 7, 2, 7, 3, 3, 8, 9, 6, 1, 0, 3, 1, 7, 9, 3, 5, 4, 5, 2, 0, 9, 0, 4, 8, 5, 3, 7, 5, 0, 4, 1, 5, 2, 9, 0, 0
OFFSET
1,1
COMMENTS
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A122694.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160200.
LINKS
FORMULA
Equals (42 +11*sqrt(2))/(42 -11*sqrt(2)).
EXAMPLE
(1003+462*sqrt(2))/761 = 2.17656592091507215840...
MATHEMATICA
RealDigits[(1003+462*Sqrt[2])/761, 10, 120][[1]] (* Harvey P. Dale, Feb 07 2016 *)
PROG
(PARI) (1003+462*sqrt(2))/761 \\ G. C. Greubel, Apr 25 2018
(Magma) (1003+462*Sqrt(2))/761; // G. C. Greubel, Apr 25 2018
CROSSREFS
Cf. A122694, A160200, A002193 (decimal expansion of sqrt(2)), A160202 (decimal expansion of (591603+85478*sqrt(2))/761^2).
Sequence in context: A248950 A329058 A078301 * A204912 A178049 A257577
KEYWORD
cons,nonn
AUTHOR
Klaus Brockhaus, May 18 2009
STATUS
approved