%I #33 Feb 16 2025 08:32:56

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

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

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

%N Decimal expansion of the area of the surface generated by revolving one arch of the cosine curve about the x-axis.

%C Equal to Pi times twice its analog for the parabola (see A103710).

%D Clyde E. Love, Differential and Integral Calculus, 4th ed., Macmillan, 1950, p. 288.

%D Sylvester Reese, A universal parabolic constant, 2004, preprint.

%H Steven R. Finch, <a href="http://arxiv.org/abs/2001.00578">Errata and Addenda to Mathematical Constants</a>, arXiv:2001.00578 [math.HO], 2020-2022, sec. 8.1.

%H Sylvester Reese, <a href="https://adelphi.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=036c3e0a-935d-43b7-9042-1e8676a908fc">Pohle Colloquium Video Lecture: The universal parabolic constant</a>, February 2005.

%H Sylvester Reese and Jonathan Sondow, <a href="https://mathworld.wolfram.com/UniversalParabolicConstant.html">MathWorld: Universal Parabolic Constant</a>.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Universal_parabolic_constant">Universal parabolic constant</a>.

%F 2*Pi*(sqrt(2) + log(1 + sqrt(2))).

%e 14.423599448414093929375465539601335358054115235952...

%t RealDigits[2*Pi*(Sqrt[2] + Log[1 + Sqrt[2]]), 10, 120][[1]] (* _Amiram Eldar_, May 31 2023 *)

%Y Cf. 2*A000796*A103710. See also A103713.

%K cons,easy,nonn,changed

%O 2,2

%A Sylvester Reese and _Jonathan Sondow_, Feb 21 2005