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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A165953 Decimal expansion of (5*sqrt(3) + sqrt(15))/(6*Pi). 4
 6, 6, 4, 9, 0, 8, 8, 9, 4, 2, 0, 5, 3, 2, 6, 6, 4, 3, 1, 1, 4, 4, 2, 8, 4, 4, 6, 7, 0, 8, 6, 3, 3, 7, 1, 6, 1, 6, 4, 8, 7, 6, 5, 8, 0, 5, 5, 5, 6, 9, 1, 9, 3, 8, 1, 0, 5, 7, 5, 9, 2, 6, 0, 5, 7, 2, 2, 9, 6, 4, 7, 1, 8, 1, 8, 7, 7, 3, 2, 5, 9, 7, 4, 9, 7, 0, 8, 9, 0, 0, 2, 6, 9, 2, 0, 9, 2, 5, 9, 8, 9, 8, 2, 8, 0 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The ratio of the volume of a regular dodecahedron to the volume of the circumscribed sphere (which has circumradius a*(sqrt(3) + sqrt(15))/4 = a*(A002194 + A010472)/4, where a is the dodecahedron's edge length; see MathWorld link). For similar ratios for other Platonic solids, see A165922, A049541, A165952, and A165954. A063723 shows the order of these by size. LINKS Eric Weisstein's World of Mathematics, Dodecahedron. FORMULA Equals (5*A002194 + A010472)/(6*A000796). Equals (5*A002194 + A010472)*A049541/6. Equals (10*A010527 + A010472)*A049541/6. Equals (5 + sqrt(5))/(2*Pi*sqrt(3)). Equals (5 + A002163)*A049541*A020760/2. EXAMPLE 0.6649088942053266431144284467086337161648765805556919381057592605722964718... MATHEMATICA RealDigits[(5*Sqrt[3]+Sqrt[15])/(6*Pi), 10, 120][[1]] (* Harvey P. Dale, Feb 16 2018 *) PROG (PARI) (5*sqrt(3)+sqrt(15))/(6*Pi) CROSSREFS Cf. A000796, A002194, A010472, A165922, A049541, A165952, A165954, A063723, A002163, A020760, A010527. Sequence in context: A002421 A360828 A209938 * A045885 A019118 A019126 Adjacent sequences: A165950 A165951 A165952 * A165954 A165955 A165956 KEYWORD cons,nonn AUTHOR Rick L. Shepherd, Oct 02 2009 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 March 24 04:28 EDT 2023. Contains 361454 sequences. (Running on oeis4.)