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A160578
Decimal expansion of (473+168*sqrt(2))/409.
4
1, 7, 3, 7, 3, 7, 8, 6, 7, 5, 9, 8, 6, 9, 9, 2, 5, 8, 7, 2, 8, 2, 8, 4, 5, 2, 4, 6, 1, 3, 0, 1, 4, 4, 9, 3, 2, 0, 2, 8, 6, 1, 8, 2, 7, 6, 4, 3, 8, 4, 5, 2, 9, 9, 8, 2, 7, 3, 0, 6, 1, 6, 0, 3, 8, 6, 9, 0, 5, 3, 9, 2, 7, 5, 8, 3, 4, 5, 7, 1, 6, 9, 9, 9, 2, 3, 3, 5, 2, 2, 1, 9, 2, 4, 3, 1, 2, 4, 3, 0, 8, 5, 4, 4, 8
OFFSET
1,2
COMMENTS
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129641.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160577.
LINKS
FORMULA
Equals (42+8*sqrt(2))/(42-8*sqrt(2)).
EXAMPLE
(473+168*sqrt(2))/409 = 1.73737867598699258728...
MATHEMATICA
RealDigits[(473+168Sqrt[2])/409, 10, 120][[1]] (* Harvey P. Dale, Mar 05 2015 *)
PROG
(PARI) (473 +168*sqrt(2))/409 \\ G. C. Greubel, Apr 08 2018
(Magma) (473 +168*Sqrt(2))/409; // G. C. Greubel, Apr 08 2018
CROSSREFS
Cf. A129641, A160577, A002193 (decimal expansion of sqrt(2)), A160579 (decimal expansion of (204819+83570*sqrt(2))/409^2).
Sequence in context: A242938 A085835 A153624 * A244258 A271178 A247950
KEYWORD
cons,nonn
AUTHOR
Klaus Brockhaus, Jun 08 2009
STATUS
approved