

A081760


Decimal expansion of Landau's constant L.


1



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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OFFSET

0,1


COMMENTS

Terms are computed using the conjectured formula.


LINKS

Harry J. Smith, Table of n, a(n) for n = 0..1000
Eric Weisstein's World of Mathematics, Landau's constant


FORMULA

It is conjectured that L=0.5432589653429767...=Gamma(1/3)*Gamma(5/6)/Gamma(1/6)


MATHEMATICA

Gamma[1/3]*Gamma[5/6]/Gamma[1/6] // RealDigits[#, 10, 104]& // First (* JeanFrançois Alcover, Feb 25 2014 *)


PROG

(PARI) { default(realprecision, 1080); x=gamma(1/3)*gamma(5/6)/gamma(1/6); d=0; for (n=0, 1000, x=(xd)*10; d=floor(x); write("b081760.txt", n, " ", d)); } [From Harry J. Smith, Apr 13 2009]


CROSSREFS

Sequence in context: A190137 A003561 A201327 * A094097 A145330 A194744
Adjacent sequences: A081757 A081758 A081759 * A081761 A081762 A081763


KEYWORD

cons,nonn


AUTHOR

Benoit Cloitre, Apr 09 2003


STATUS

approved



