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A159567
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Decimal expansion of (137283+87958*sqrt(2))/241^2.
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4
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4, 5, 0, 5, 3, 3, 5, 5, 9, 2, 0, 0, 4, 4, 8, 8, 4, 6, 0, 9, 8, 5, 5, 0, 1, 9, 1, 6, 3, 5, 8, 8, 1, 9, 9, 8, 5, 7, 9, 2, 7, 9, 2, 8, 0, 3, 4, 0, 2, 2, 4, 1, 6, 7, 3, 1, 8, 8, 7, 2, 6, 0, 2, 7, 3, 4, 4, 3, 7, 8, 4, 9, 4, 5, 2, 6, 0, 9, 3, 0, 5, 8, 3, 7, 0, 2, 4, 8, 2, 1, 7, 9, 0, 9, 3, 1, 1, 0, 9, 0, 6, 2, 5, 6, 1
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OFFSET
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1,1
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COMMENTS
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Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A129991.
Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159565.
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LINKS
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FORMULA
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Equals (442+199*sqrt(2))/(442-199*sqrt(2)).
Equals (3+2*sqrt(2))*(22-sqrt(2))^2/(22+sqrt(2))^2.
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EXAMPLE
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(137283+87958*sqrt(2))/241^2 = 4.50533559200448846098...
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MATHEMATICA
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RealDigits[(137283+87958*Sqrt[2])/241^2, 10, 100][[1]] (* G. C. Greubel, May 05 2018 *)
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PROG
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(PARI) (137283+87958*sqrt(2))/241^2 \\ G. C. Greubel, May 05 2018
(Magma) (137283+87958*Sqrt(2))/241^2; // G. C. Greubel, May 05 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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