A374771 Decimal expansion of the volume of the sphere inscribed in a regular dodecahedron with unit edge.

5, 7, 8, 3, 3, 3, 5, 9, 5, 0, 3, 9, 6, 5, 7, 4, 1, 7, 8, 4, 2, 1, 8, 2, 3, 2, 1, 0, 4, 1, 0, 3, 3, 6, 7, 5, 5, 5, 3, 7, 2, 2, 3, 2, 4, 6, 2, 6, 0, 8, 2, 6, 1, 9, 4, 0, 4, 0, 5, 0, 7, 8, 2, 5, 5, 1, 7, 8, 7, 3, 1, 5, 3, 0, 0, 1, 0, 1, 6, 8, 2, 9, 8, 0, 7, 2, 3, 3, 6, 0

Offset

1,1

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Wikipedia, Regular dodecahedron.

Formula

Equals (4/3)*Pi*A237603^3 = 10*A019699*A237603^3.

Equals (1/30)*Pi*sqrt(1525 + 682*sqrt(5)).

Equals (Pi/6)*A001622^6/((3 - A001622)^(3/2)).

Equals A102769*A374772.

Example

5.78333595039657417842182321041033675553722324626...

Mathematica

First[RealDigits[Pi*Sqrt[1525 + 682*Sqrt[5]]/30, 10, 100]]

Crossrefs

Cf. A000796, A001622, A019699, A102769, A237603 (radius), A374772.

Sequence in context: A153104 A233527 A244355 * A245278 A155855 A070366

Adjacent sequences: A374756 A374768 A374770 * A374772 A374774 A374775

Keyword

nonn,cons,new

Author

Paolo Xausa, Jul 19 2024

Status

approved