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A210965
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Decimal expansion of k such that e^(Pi*k) = round(e^(Pi*sqrt(163))).
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1
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1, 2, 7, 6, 7, 1, 4, 5, 3, 3, 4, 8, 0, 3, 7, 0, 4, 6, 6, 1, 7, 1, 0, 9, 5, 2, 0, 0, 9, 7, 8, 1, 8, 0, 1, 5, 8, 6, 5, 7, 9, 2, 8, 7, 6, 0, 4, 6, 1, 5, 9, 5, 5, 2, 0, 0, 7, 4, 9, 7, 6, 0, 0, 8, 4, 7, 4, 0, 0, 6, 2, 4, 9, 2, 6, 1, 2, 2, 8, 5, 1, 6, 7, 1, 4, 1, 3, 8, 9, 1
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OFFSET
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2,2
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COMMENTS
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Decimal expansion of k = log(262537412640768744)/Pi.
Note that 262537412640768744 = 24*10939058860032031 = 2^3 * 3 * 10939058860032031, is the nearest integer to the value of Ramanujan's constant e^(Pi*sqrt(163)) = A060295.
By construction, this constant here is very close to sqrt(163) = A210963.
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LINKS
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FORMULA
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Equals log(round(e^(Pi*sqrt(163))))/Pi.
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EXAMPLE
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12.767145334803704661710952...
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MATHEMATICA
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RealDigits[Log[262537412640768744]/Pi, 10, 120][[1]] (* Harvey P. Dale, Nov 12 2017 *)
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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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