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A160178
Decimal expansion of (755667+461578*sqrt(2))/617^2.
4
3, 6, 9, 9, 7, 0, 4, 6, 6, 1, 0, 0, 4, 2, 5, 4, 0, 4, 0, 5, 3, 1, 2, 1, 0, 1, 9, 5, 0, 4, 9, 6, 7, 0, 5, 1, 7, 6, 9, 3, 0, 0, 4, 0, 1, 3, 4, 9, 3, 2, 7, 3, 8, 7, 3, 7, 4, 1, 4, 1, 4, 8, 5, 5, 9, 6, 4, 5, 4, 4, 0, 6, 6, 0, 0, 5, 5, 3, 8, 4, 9, 1, 4, 6, 8, 0, 5, 9, 6, 9, 5, 2, 3, 6, 4, 9, 0, 0, 0, 0, 6, 5, 6, 3, 9
OFFSET
1,1
COMMENTS
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A115135.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A160176.
LINKS
FORMULA
Equals (1066 +433*sqrt(2))/(1066 -433*sqrt(2)).
Equals (3 +2*sqrt(2))*(25 -2*sqrt(2))^2/(25 +2*sqrt(2))^2.
EXAMPLE
(755667+461578*sqrt(2))/617^2 = 3.69970466100425404053...
MATHEMATICA
RealDigits[(755667+461578*Sqrt[2])/617^2, 10, 120][[1]] (* Harvey P. Dale, Oct 14 2017 *)
PROG
(PARI) (755667+461578*sqrt(2))/617^2 \\ G. C. Greubel, Apr 25 2018
(Magma) (755667+461578*Sqrt(2))/617^2; // G. C. Greubel, Apr 25 2018
CROSSREFS
Cf. A115135, A160176, A002193 (decimal expansion of sqrt(2)), A160177 (decimal expansion of (633+100*sqrt(2))/617).
Sequence in context: A325738 A198373 A331065 * A011383 A329513 A329213
KEYWORD
cons,nonn
AUTHOR
Klaus Brockhaus, May 18 2009
STATUS
approved