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Decimal expansion of Burnside curve area.
2

%I #19 Mar 29 2017 08:54:36

%S 1,1,0,1,6,5,9,0,2,6,4,5,7,5,7,4,0,9,0,4,3,0,9,3,3,8,1,1,3,7,8,0,4,3,

%T 8,3,3,6,9,5,9,2,2,6,2,1,5,7,5,1,5,5,3,1,3,9,8,5,5,7,2,6,5,6,9,7,4,9,

%U 0,1,6,0,1,9,7,4,0,5,8,5,6,8,4,6,1,8,3,9,1,4,5,8,8,9,1,7,7,1,7,4,3,4,0,8,9

%N Decimal expansion of Burnside curve area.

%H G. C. Greubel, <a href="/A193719/b193719.txt">Table of n, a(n) for n = 1..10000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BurnsideCurve.html">Burnside Curve</a>

%F Equals sqrt(Pi)*gamma(3/8)/(4*gamma(15/8)).

%e 1.101659026457574...

%t area = N[Sqrt[Pi]*Gamma[3/8]/(4*Gamma[15/8]), 105]; RealDigits[area][[1]]

%o (PARI) sqrt(Pi)*gamma(3/8)/(4*gamma(15/8)) \\ _Michel Marcus_, Jul 04 2015

%Y Cf. A193720 (length).

%K nonn,cons

%O 1,5

%A _Jean-François Alcover_, Aug 03 2011