cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A246856 Decimal expansion of 'alpha', the threshold angle associated with the best constant in [a variation of] Hardy's inequality for a domain defined as a non-convex plane sector of angle alpha.

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%I A246856 #11 Jan 17 2020 16:12:04
%S A246856 4,8,5,6,0,5,5,3,2,0,9,3,1,6,6,2,0,3,8,6,2,6,4,3,5,3,4,8,9,0,5,2,9,3,
%T A246856 9,8,5,5,1,9,5,3,7,8,3,1,0,2,0,8,8,0,2,5,8,3,8,3,4,6,2,1,2,4,3,6,0,6,
%U A246856 2,2,7,9,0,2,3,6,5,5,0,5,9,2,8,0,6,9,8,2,6,2,7,2,6,5,7,8,9,6,2,4,2,9
%N A246856 Decimal expansion of 'alpha', the threshold angle associated with the best constant in [a variation of] Hardy's inequality for a domain defined as a non-convex plane sector of angle alpha.
%H A246856 Steven R. Finch, <a href="http://arxiv.org/abs/2001.00578">Errata and Addenda to Mathematical Constants</a>, p. 30.
%F A246856 alpha = Pi + 4*arctan(4*Gamma(3/4)^2/Gamma(1/4)^2).
%e A246856 4.85605532093166203862643534890529398551953783102088...
%t A246856 alpha = Pi + 4*ArcTan[4*Gamma[3/4]^2/Gamma[1/4]^2]; RealDigits[alpha, 10, 102] // First
%o A246856 (PARI) Pi + 4*atan(4*gamma(3/4)^2/gamma(1/4)^2) \\ _Michel Marcus_, Sep 05 2014
%Y A246856 Cf. A068465, A068466.
%K A246856 nonn,cons,easy
%O A246856 1,1
%A A246856 _Jean-François Alcover_, Sep 05 2014