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A159692
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Decimal expansion of (2052963 + 1343918*sqrt(2))/881^2.
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4
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5, 0, 9, 3, 7, 2, 4, 1, 9, 1, 6, 5, 2, 6, 6, 6, 3, 3, 0, 5, 6, 2, 1, 7, 4, 4, 8, 0, 3, 7, 5, 1, 3, 9, 9, 8, 0, 4, 3, 6, 0, 1, 3, 0, 0, 1, 7, 0, 0, 4, 6, 8, 4, 6, 0, 2, 9, 0, 3, 9, 9, 9, 0, 4, 2, 9, 9, 5, 3, 2, 1, 9, 8, 8, 4, 7, 7, 1, 0, 6, 7, 7, 8, 5, 9, 0, 2, 0, 3, 7, 6, 3, 8, 9, 0, 9, 3, 7, 6, 6, 8, 1, 7, 5, 7
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OFFSET
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1,1
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COMMENTS
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Lim_{n -> infinity} b(n)/b(n-1) = (2052963+1343918*sqrt(2))/881^2 for n mod 3 = 0, b = A130014.
Lim_{n -> infinity} b(n)/b(n-1) = (2052963+1343918*sqrt(2))/881^2 for n mod 3 = 1, b = A159690.
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LINKS
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FORMULA
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Equals (1682 + 799*sqrt(2))/(1682 - 799*sqrt(2)).
Equals (3 + 2*sqrt(2))*(42 - sqrt(2))^2/(42 + sqrt(2))^2.
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EXAMPLE
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(2052963 + 1343918*sqrt(2))/881^2 = 5.09372419165266633056...
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MATHEMATICA
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RealDigits[(2052963 + 1343918*Sqrt[2])/881^2, 10, 100][[1]] (* G. C. Greubel, Jun 02 2018 *)
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PROG
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(PARI) (2052963 + 1343918*sqrt(2))/881^2 \\ G. C. Greubel, Jun 02 2018
(Magma) (2052963 + 1343918*Sqrt(2))/881^2; // G. C. Greubel, Jun 02 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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