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A160202
Decimal expansion of (591603+85478*sqrt(2))/761^2.
4
1, 2, 3, 0, 2, 9, 0, 6, 4, 1, 9, 9, 8, 0, 0, 6, 3, 2, 0, 9, 2, 6, 8, 3, 6, 9, 6, 2, 8, 5, 9, 2, 2, 3, 8, 4, 5, 0, 3, 4, 0, 7, 4, 7, 6, 6, 0, 0, 4, 8, 0, 8, 6, 1, 0, 6, 3, 4, 0, 4, 0, 6, 0, 7, 4, 7, 9, 2, 1, 7, 3, 4, 9, 7, 3, 1, 7, 2, 0, 9, 7, 9, 6, 6, 8, 9, 3, 5, 2, 0, 6, 3, 8, 9, 0, 9, 3, 3, 7, 8, 3, 3, 4, 1, 3
OFFSET
1,2
COMMENTS
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A122694.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A160200.
LINKS
FORMULA
Equals (1082 +79*sqrt(2))/(1082 -79*sqrt(2)).
Eausl (3+2*sqrt(2))*(42-11*sqrt(2))^2/(42+11*sqrt(2))^2.
EXAMPLE
(591603+85478*sqrt(2))/761^2 = 1.23029064199800632092...
MATHEMATICA
RealDigits[(591603+85478Sqrt[2])/761^2, 10, 120][[1]] (* Harvey P. Dale, Oct 25 2011 *)
PROG
(PARI) (591603+85478*sqrt(2))/761^2 \\ G. C. Greubel, Apr 25 2018
(Magma) (591603+85478*Sqrt(2))/761^2; // G. C. Greubel, Apr 25 2018
CROSSREFS
Cf. A122694, A160200, A002193 (decimal expansion of sqrt(2)), A160201 (decimal expansion of (1003+462*sqrt(2))/761).
Sequence in context: A209927 A354077 A059283 * A195673 A339674 A241070
KEYWORD
cons,nonn
AUTHOR
Klaus Brockhaus, May 18 2009
STATUS
approved