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A081760
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Decimal expansion of the conjectured Landau's constant L.
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4
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5, 4, 3, 2, 5, 8, 9, 6, 5, 3, 4, 2, 9, 7, 6, 7, 0, 6, 9, 5, 2, 7, 2, 8, 2, 9, 5, 3, 0, 0, 6, 1, 3, 2, 3, 1, 1, 3, 8, 8, 6, 3, 2, 9, 3, 7, 5, 8, 3, 5, 6, 9, 8, 8, 9, 5, 5, 7, 3, 2, 5, 6, 9, 1, 0, 0, 4, 3, 4, 6, 8, 7, 0, 1, 5, 3, 0, 7, 8, 3, 7, 3, 1, 2, 8, 5, 2, 1, 2, 7, 1, 0, 2, 2, 5, 9, 7, 1, 0, 8, 5, 7, 5, 3
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refs;
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OFFSET
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0,1
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COMMENTS
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Terms are computed using the conjectured formula.
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LINKS
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FORMULA
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It is conjectured that L = 0.5432589653429767... = Gamma(1/3)*Gamma(5/6)/Gamma(1/6).
Equivalently 2^(5/3) * Pi^2 / (3 * Gamma(1/3)^3). - Vaclav Kotesovec, Jun 10 2018
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MATHEMATICA
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Gamma[1/3]*Gamma[5/6]/Gamma[1/6] // RealDigits[#, 10, 104]& // First (* Jean-François Alcover, Feb 25 2014 *)
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PROG
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(PARI) { default(realprecision, 1080); x=gamma(1/3)*gamma(5/6)/gamma(1/6); d=0; for (n=0, 1000, x=(x-d)*10; d=floor(x); write("b081760.txt", n, " ", d)); } \\ Harry J. Smith, Apr 13 2009
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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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