A133747 - OEIS

A133747

Decimal expansion of the nonzero invariant of the Weierstrass elliptic function with half-periods 1/2 and i/2.

%I #13 Aug 15 2015 15:20:33

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

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

%U 5,5,9,0,2,6,0,9,6,4,7,6,7,2,9,6,6,5,2,1,6,6,3,7,3,0,4,4,7,0,4,9,3,4,0,4,4

%N Decimal expansion of the nonzero invariant of the Weierstrass elliptic function with half-periods 1/2 and i/2.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CostaMinimalSurface.html">Costa Minimal Surface</a>

%F Equals (beta(1/4, 1/4)/2)^4 = gamma(1/4)^8/(16*Pi^2). - _Jan Mangaldan_, Mar 02 2013

%e 189.07272012923385229...

%t First[RealDigits[(1/2 Beta[1/4, 1/4])^4, 10, 30]] (* _Jan Mangaldan_, Mar 02 2013 *)

%Y Cf. A133748.

%K nonn,cons

%O 3,2

%A _Eric W. Weisstein_, Sep 22 2007