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A212131
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Decimal expansion of k such that e^(k*sqrt(163)) = round(e^(Pi*sqrt(163))).
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2
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3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4, 6, 2, 6, 4, 3, 3, 8, 3, 2, 7, 9, 7, 2, 6, 6, 1, 9, 3, 4, 7, 5, 4, 9, 8, 8, 0, 8, 8, 3, 5, 2, 2, 4, 2, 2, 2, 9, 2, 9, 6, 2, 8, 7, 7, 4, 4, 2, 2, 5, 8, 7, 3, 9, 0, 5, 1, 0, 4, 9, 3, 7, 8, 7, 5, 5, 1, 0, 7, 4, 4, 5, 7, 7, 6, 7, 2, 0, 2, 4, 1, 5, 7, 9, 6, 7
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OFFSET
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1,1
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COMMENTS
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Decimal expansion of log(262537412640768744)/sqrt(163).
First differs from A000796 at a(32).
Note that 262537412640768744 = 24*10939058860032031 = 2^3 * 3 * 10939058860032031, is the nearest integer to the value of Ramanujan's constant e^(Pi*sqrt(163)) = 262537412640768743.999999999999250... = A060295.
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LINKS
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Table of n, a(n) for n=1..105.
Eric Weisstein's World of Mathematics, Ramanujan's constant
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FORMULA
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k = log(round(e^(Pi*sqrt(163))))/sqrt(163).
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EXAMPLE
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3.14159265358979323846264338327972661934754988... (very close to Pi).
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MATHEMATICA
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RealDigits[Log[Round[E^(Pi Sqrt[163])]]/Sqrt[163], 10, 105][[1]] (* Bruno Berselli, Jun 26 2012 *)
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CROSSREFS
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Cf. A000796, A003173, A019297, A060295, A080283, A102912, A160514, A160515, A181045.
Sequence in context: A328779 A112602 A000796 * A114609 A271452 A068089
Adjacent sequences: A212128 A212129 A212130 * A212132 A212133 A212134
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KEYWORD
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nonn,cons
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AUTHOR
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Omar E. Pol, Jun 25 2012
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EXTENSIONS
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More terms from Alois P. Heinz, Jun 25 2012
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STATUS
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approved
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