login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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