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.
%I A102769 #37 Feb 16 2025 08:32:56 %S A102769 7,6,6,3,1,1,8,9,6,0,6,2,4,6,3,1,9,6,8,7,1,6,0,5,3,9,2,0,2,7,9,7,3,3, %T A102769 4,1,2,0,2,1,0,8,2,1,2,9,3,2,0,1,7,0,0,1,7,4,7,4,0,7,0,1,7,9,4,6,8,4, %U A102769 1,1,6,1,9,8,6,6,1,5,8,5,7,3,9,7,5,2,2,5,2,1,4,6,6,2,8,6,8,9,8,1 %N A102769 Decimal expansion of the volume of a dodecahedron with each edge of unit length. %C A102769 Equals 5*phi^3/(2*xi^2), phi being the golden ratio (A001622) and xi its associate (A182007). - _Stanislav Sykora_, Nov 23 2013 %D A102769 Jan Gullberg, Mathematics from the Birth of Numbers, W. W. Norton & Co., NY & London, 1997, ยง12.4 Theorems and Formulas (Solid Geometry), p. 451. %H A102769 Ivan Panchenko, <a href="/A102769/b102769.txt">Table of n, a(n) for n = 1..1000</a> %H A102769 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Dodecahedron.html">Dodecahedron</a>. %H A102769 Wikipedia, <a href="http://en.wikipedia.org/wiki/Platonic_solid">Platonic solid</a>. %H A102769 <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>. %F A102769 Equals (15 + 7 sqrt(5)) / 4. %F A102769 Equals (sqrt(5)/2)*(phi)^4, where phi is the golden ratio. - _G. C. Greubel_, Jul 06 2017 %e A102769 7.663118960624631968716053920... %p A102769 evalf((15+7*sqrt(5))/4,100); # _Wesley Ivan Hurt_, Jan 29 2017 %t A102769 RealDigits[(Sqrt[5]/2)*(GoldenRatio)^4, 10, 50][[1]] (* _G. C. Greubel_, Jul 06 2017 *) %o A102769 (PARI) (7*sqrt(5)+15)/4 \\ _Charles R Greathouse IV_, Apr 25 2016 %Y A102769 Cf. A001622 (phi), A182007 (phi associate), A020829 (regular tetrahedron volume), A131594 (regular octahedron volume), A102208 (regular icosahedron volume). %K A102769 nonn,cons,easy %O A102769 1,1 %A A102769 Bryan Jacobs (bryanjj(AT)gmail.com), Feb 10 2005