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A159643
Decimal expansion of (1084467 + 707402*sqrt(2))/647^2.
4
4, 9, 8, 0, 5, 0, 5, 6, 8, 0, 5, 9, 8, 9, 6, 5, 1, 0, 5, 1, 7, 5, 5, 0, 3, 1, 7, 0, 9, 3, 8, 4, 8, 6, 3, 6, 8, 3, 6, 8, 4, 3, 6, 9, 5, 1, 8, 7, 0, 1, 3, 1, 3, 6, 5, 6, 9, 2, 8, 7, 7, 1, 2, 4, 0, 3, 2, 4, 9, 8, 4, 3, 3, 4, 5, 2, 3, 4, 2, 0, 2, 6, 8, 0, 0, 2, 8, 8, 1, 9, 8, 6, 7, 3, 3, 2, 5, 9, 5, 2, 9, 4, 3, 9, 0
OFFSET
1,1
COMMENTS
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130013.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159641.
LINKS
FORMULA
Equals (1226 + 577*sqrt(2))/(1226 - 577*sqrt(2)).
Equals (3 + 2*sqrt(2))*(36 - sqrt(2))^2/(36 + sqrt(2))^2.
EXAMPLE
(1084467 + 707402*sqrt(2))/647^2 = 4.98050568059896510517...
MATHEMATICA
RealDigits[(1084467+707402*Sqrt[2])/647^2, 10, 100][[1]] (* G. C. Greubel, May 10 2018 *)
PROG
(PARI) (1084467+707402*sqrt(2))/647^2 \\ G. C. Greubel, May 10 2018
(Magma) (1084467+707402*Sqrt(2))/647^2; // G. C. Greubel, May 10 2018
CROSSREFS
Cf. A130013, A159641, A002193 (decimal expansion of sqrt(2)), A159642 (decimal expansion of (649+36*sqrt(2))/647).
Sequence in context: A096982 A212877 A205297 * A200398 A145424 A200394
KEYWORD
cons,nonn
AUTHOR
Klaus Brockhaus, Apr 21 2009
STATUS
approved