The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A353772 Decimal expansion of the gravitational acceleration generated at a vertex by a unit-mass regular tetrahedron with edge length 2 in units where the gravitational constant is G = 1. 4
 9, 5, 4, 8, 5, 4, 6, 6, 5, 9, 6, 6, 1, 5, 6, 7, 8, 0, 1, 4, 5, 5, 0, 9, 5, 2, 8, 0, 3, 3, 6, 9, 0, 5, 8, 9, 6, 0, 2, 4, 7, 1, 4, 7, 0, 9, 8, 7, 5, 7, 2, 3, 4, 0, 9, 8, 0, 2, 0, 0, 8, 3, 5, 1, 3, 3, 4, 2, 7, 0, 0, 4, 5, 7, 9, 9, 0, 5, 9, 5, 5, 1, 3, 2, 1, 0, 3, 7, 3, 5, 2, 7, 7, 0, 0, 1, 0, 4, 7, 9, 0, 6, 2, 6, 2 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS 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 vertex is c*G*M*m/s^2, where G is the gravitational constant (A070058) and c is this constant. The vertices are the positions where the gravitational field that is generated by the tetrahedron on its surface attains its minimum absolute value. LINKS Table of n, a(n) for n=0..104. Murray S. Klamkin, Extreme Gravitational Attraction, Problem 92-5, SIAM Review, Vol. 34, No. 1 (1992), pp. 120-121; Solution, by Carl C. Grosjean, ibid., Vol. 38, No. 3 (1996), pp. 515-520. Eric Weisstein's World of Physics, Polyhedron Gravitational Force. Eric Weisstein's World of Physics, Tetrahedron Gravitational Force. FORMULA Equals 6*sqrt(3)*(Pi/3 - arctan(sqrt(2))). Equals 3*sqrt(3)*(Pi/6 - arctan(sqrt(2)/4)). EXAMPLE 0.95485466596615678014550952803369058960247147098757... MATHEMATICA RealDigits[6*Sqrt[3]*(Pi/3 - ArcTan[Sqrt[2]]), 10, 100][[1]] CROSSREFS Cf. A070058, A353769, A353770, A353771, A353773. Sequence in context: A110894 A359282 A198933 * A259148 A089491 A199792 Adjacent sequences: A353769 A353770 A353771 * A353773 A353774 A353775 KEYWORD nonn,cons AUTHOR Amiram Eldar, May 07 2022 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 10 09:32 EDT 2024. Contains 375786 sequences. (Running on oeis4.)