A133747 Decimal expansion of the nonzero invariant of the Weierstrass elliptic function with half-periods 1/2 and i/2.
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, 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, 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
Offset: 3
Examples
189.07272012923385229...
Links
- Eric Weisstein's World of Mathematics, Costa Minimal Surface
Crossrefs
Cf. A133748.
Programs
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Mathematica
First[RealDigits[(1/2 Beta[1/4, 1/4])^4, 10, 30]] (* Jan Mangaldan, Mar 02 2013 *)
Formula
Equals (beta(1/4, 1/4)/2)^4 = gamma(1/4)^8/(16*Pi^2). - Jan Mangaldan, Mar 02 2013