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.

A345736 Decimal expansion of the surface area of the catenoid-shaped soap film between two parallel coaxial unit-radius circular rings whose distance between their centers is maximal (2*A033259).

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%I A345736 #9 Dec 13 2024 09:41:31
%S A345736 7,5,3,7,8,0,3,2,0,5,8,0,4,5,7,7,9,7,8,8,2,6,5,1,8,2,2,0,6,9,2,8,3,0,
%T A345736 3,4,5,5,1,1,9,3,5,9,2,1,5,2,6,1,1,6,9,3,8,8,4,8,1,3,7,3,1,4,5,1,9,0,
%U A345736 5,0,8,8,8,2,0,4,3,9,2,2,8,2,3,7,3,7,2
%N A345736 Decimal expansion of the surface area of the catenoid-shaped soap film between two parallel coaxial unit-radius circular rings whose distance between their centers is maximal (2*A033259).
%H A345736 G. C. Greubel, <a href="/A345736/b345736.txt">Table of n, a(n) for n = 1..20000</a>
%H A345736 Markus Deserno, <a href="https://www.cmu.edu/biolphys/deserno/pdf/diff_geom.pdf">Notes on Differential Geometry, with special emphasis on surfaces in R^3</a>, 2004. See p. 28.
%H A345736 Lev A. Slobozhanin, J. Iwan, D. Alexander and Viral D. Patel, <a href="https://doi.org/10.1063/1.1420736">The stability margin for stable weightless liquid bridges</a>, Physics of Fluids, Vol. 14, No. 1 (2002), pp. 209-224. See p. 222.
%H A345736 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MinimalSurfaceofRevolution.html">Minimal Surface of Revolution</a>.
%F A345736 Equals 2*Pi*A085984.
%e A345736 7.53780320580457797882651822069283034551193592152611...
%t A345736 RealDigits[2 * Pi * x /. FindRoot[x == Coth[x], {x, 1}, WorkingPrecision -> 120], 10, 100][[1]]
%Y A345736 Cf. A033259, A085984, A253545.
%K A345736 nonn,cons
%O A345736 1,1
%A A345736 _Amiram Eldar_, Jun 25 2021