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A157122
Decimal expansion of 11 - 3*sqrt(2).
6
6, 7, 5, 7, 3, 5, 9, 3, 1, 2, 8, 8, 0, 7, 1, 4, 8, 5, 3, 5, 9, 4, 9, 3, 3, 8, 2, 7, 3, 7, 0, 9, 0, 5, 7, 6, 4, 2, 9, 0, 9, 8, 4, 3, 7, 3, 8, 6, 9, 1, 5, 5, 7, 8, 0, 4, 6, 9, 9, 6, 0, 7, 8, 6, 0, 2, 7, 8, 0, 2, 5, 6, 4, 6, 1, 3, 6, 7, 8, 8, 8, 3, 4, 4, 8, 8, 3, 7, 3, 9, 7, 0, 1, 7, 0, 7, 5, 2, 8, 1, 7, 9, 4, 9, 5
OFFSET
1,1
COMMENTS
Limit_{n -> oo} b(n)/b(n-1) = (11+3*sqrt(2))/(11-3*sqrt(2)) for n mod 3 = {1, 2}, b = A157119.
Limit_{n -> oo} b(n)/b(n-1) = (11+3*sqrt(2))/(11-3*sqrt(2)) for n mod 3 = {0, 2}, b = A157120.
FORMULA
Minimal polynomial: x^2 - 22*x + 103. - Amiram Eldar, May 04 2026
EXAMPLE
6.75735931288071485359493382737090576429098437386915...
MATHEMATICA
RealDigits[11 - 3*Sqrt[2], 10, 50][[1]] (* G. C. Greubel, Jan 27 2018 *)
PROG
(PARI) 11-sqrt(18) \\ Charles R Greathouse IV, May 07 2015
(Magma) 11-3*Sqrt(2); // G. C. Greubel, Jan 27 2018
CROSSREFS
Cf. A157121 (11+3*sqrt(2)), A157123 ((11+3*sqrt(2))/(11-3*sqrt(2))).
Sequence in context: A198507 A021152 A199720 * A193030 A035414 A020505
KEYWORD
cons,nonn
AUTHOR
Klaus Brockhaus, Feb 25 2009
STATUS
approved