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A180873 Decimal expansion of the reciprocal of Wyler's constant. 1

%I #12 Jun 11 2023 02:54:22

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

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

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

%N Decimal expansion of the reciprocal of Wyler's constant.

%C This constant is very close to the fine structure constant A005600, but it seems unknown whether this is just a coincidence. - _M. F. Hasler_, Sep 19 2015

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

%F Equals (16*(2/3)^(3/4)*5^(1/4)*Pi^(11/4))/3.

%e 137.03608244816433744...

%t RealDigits[(16*(2/3)^(3/4)*5^(1/4)*Pi^(11/4))/3, 10, 120][[1]] (* _Amiram Eldar_, Jun 11 2023 *)

%o (PARI) 16/9*Pi^3/sqrtn(Pi/5!,4) \\ _M. F. Hasler_, Sep 19 2015

%Y Cf. A005600, A180872.

%K nonn,cons

%O 3,2

%A _Eric W. Weisstein_, Sep 22 2010

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