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 A102769 Decimal expansion of the volume of a dodecahedron with each edge of unit length. 9
 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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Equals 5*phi^3/(2*xi^2), phi being the golden ratio (A001622) and xi its associate (A182007). - Stanislav Sykora, Nov 23 2013 LINKS Ivan Panchenko, Table of n, a(n) for n = 1..1000 Eric Weisstein's World of Mathematics, Dodecahedron Wikipedia, Platonic solid FORMULA Equals (15 + 7 sqrt(5)) / 4. Equals (sqrt(5)/2)*(phi)^4, where phi is the golden ratio. - G. C. Greubel, Jul 06 2017 EXAMPLE 7.663118960624631968716053920... MAPLE evalf((15+7*sqrt(5))/4, 100); # Wesley Ivan Hurt, Jan 29 2017 MATHEMATICA RealDigits[(Sqrt[5]/2)*(GoldenRatio)^4, 10, 50][[1]] (* G. C. Greubel, Jul 06 2017 *) PROG (PARI) (7*sqrt(5)+15)/4 \\ Charles R Greathouse IV, Apr 25 2016 CROSSREFS Cf. A001622 (phi), A182007 (phi associate), A020829 (regular tetrahedron volume), A131594 (regular octahedron volume), A102208 (regular icosahedron volume). Sequence in context: A019859 A188736 A265304 * A031348 A247674 A109696 Adjacent sequences:  A102766 A102767 A102768 * A102770 A102771 A102772 KEYWORD nonn,cons AUTHOR Bryan Jacobs (bryanjj(AT)gmail.com), Feb 10 2005 STATUS approved

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Last modified December 19 02:36 EST 2018. Contains 318245 sequences. (Running on oeis4.)