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.

A353771 Decimal expansion of the gravitational acceleration generated at the center of a face by unit-mass regular tetrahedron with edge length 2 in units where the gravitational constant is G = 1.

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%I A353771 #6 May 07 2022 09:41:06
%S A353771 2,5,6,3,3,1,1,8,1,6,1,4,3,6,4,9,4,6,6,8,8,2,2,9,3,9,5,7,5,4,8,4,0,7,
%T A353771 9,5,1,8,3,4,5,8,5,1,1,7,5,9,1,1,8,4,4,9,6,7,7,0,3,9,4,4,9,2,4,6,4,9,
%U A353771 0,1,6,3,8,2,5,4,0,1,8,9,5,0,9,0,7,3,0,4,6,7,2,2,8,6,8,0,9,4,5,2,9,5,2,0,7
%N A353771 Decimal expansion of the gravitational acceleration generated at the center of a face by unit-mass regular tetrahedron with edge length 2 in units where the gravitational constant is G = 1.
%C A353771 The absolute value of the gravitational attraction force between a homogeneous regular tetrahedron with mass M and edge length 2*s and a test particle with mass m located at the tetrahedron's center of face is c*G*M*m/s^2, where G is the gravitational constant (A070058) and c is this constant.
%C A353771 The centers of the faces are the positions where the gravitational field that is generated by the tetrahedron attains its maximum absolute value.
%H A353771 Murray S. Klamkin, <a href="https://www.jstor.org/stable/2132789">Extreme Gravitational Attraction</a>, Problem 92-5, SIAM Review, Vol. 34, No. 1 (1992), pp. 120-121; <a href="https://www.jstor.org/stable/2132502">Solution</a>, by Carl C. Grosjean, ibid., Vol. 38, No. 3 (1996), pp. 515-520.
%H A353771 Eric Weisstein's World of Physics, <a href="https://scienceworld.wolfram.com/physics/PolyhedronGravitationalForce.html">Polyhedron Gravitational Force</a>.
%H A353771 Eric Weisstein's World of Physics, <a href="https://scienceworld.wolfram.com/physics/TetrahedronGravitationalForce.html">Tetrahedron Gravitational Force</a>.
%F A353771 Equals 2*Pi/(3*sqrt(3)) + sqrt(6)*log(sqrt(3) + 2) - 2*sqrt(6)*log(sqrt(3) + sqrt(2))/3.
%e A353771 2.56331181614364946688229395754840795183458511759118...
%t A353771 RealDigits[2*Pi/(3*Sqrt[3]) + Sqrt[6]*Log[Sqrt[3] + 2] - 2*Sqrt[6]*Log[Sqrt[3] + Sqrt[2]]/3, 10, 100][[1]]
%Y A353771 Cf. A070058, A353769, A353770, A353772, A353773.
%K A353771 nonn,cons
%O A353771 1,1
%A A353771 _Amiram Eldar_, May 07 2022