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A160057
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Decimal expansion of (8979+2990*sqrt(2))/89^2.
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4
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1, 6, 6, 7, 4, 0, 2, 9, 2, 2, 7, 9, 9, 5, 9, 0, 2, 2, 7, 9, 9, 1, 0, 4, 2, 7, 0, 7, 4, 0, 9, 0, 3, 8, 9, 1, 6, 1, 6, 2, 5, 1, 9, 7, 4, 5, 9, 1, 3, 0, 2, 5, 4, 6, 8, 8, 5, 4, 7, 2, 4, 4, 5, 6, 0, 7, 7, 8, 0, 4, 5, 8, 4, 0, 9, 3, 1, 3, 2, 1, 8, 6, 1, 0, 8, 1, 5, 0, 3, 2, 5, 4, 1, 8, 4, 6, 3, 3, 6, 3, 5, 2, 4, 5, 1
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OFFSET
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1,2
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COMMENTS
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Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A129298.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A160055.
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 1..10000
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FORMULA
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Equals (130+23*sqrt(2))/(130-23*sqrt(2)).
Equals (3+2*sqrt(2))*(14- 3*sqrt(2) )^2/(14+3*sqrt(2))^2.
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EXAMPLE
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(8979+2990*sqrt(2))/89^2 = 1.66740292279959022799...
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MATHEMATICA
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RealDigits[(8979+2990*Sqrt[2])/89^2, 10, 100][[1]] (* G. C. Greubel, Apr 15 2018 *)
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PROG
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(PARI) (8979+2990*sqrt(2))/89^2 \\ G. C. Greubel, Apr 15 2018
(MAGMA) (8979+2990*Sqrt(2))/89^2; // G. C. Greubel, Apr 15 2018
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CROSSREFS
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Cf. A129298, A160055, A002193 (decimal expansion of sqrt(2)), A160056 (decimal expansion of (107+42*sqrt(2))/89).
Sequence in context: A244293 A196737 A070058 * A190145 A195103 A152485
Adjacent sequences: A160054 A160055 A160056 * A160058 A160059 A160060
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KEYWORD
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cons,nonn
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AUTHOR
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Klaus Brockhaus, May 04 2009
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STATUS
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approved
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