A379386 Decimal expansion of the volume of a deltoidal hexecontahedron with unit shorter edge length.

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

Offset

2,1

Comments

The deltoidal hexecontahedron is the dual polyhedron of the (small) rhombicosidodecahedron.

Links

Paolo Xausa, Table of n, a(n) for n = 2..10000

Eric Weisstein's World of Mathematics, Deltoidal Hexecontahedron.

Wikipedia, Deltoidal hexecontahedron.

Formula

Equals sqrt((29530 + 13204*sqrt(5))/9) = sqrt((29530 + 13204*A002163)/9).

Example

81.004143635377089099456665341616282246804393456803...

Mathematica

First[RealDigits[Sqrt[(29530 + 13204*Sqrt[5])/9], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["DeltoidalHexecontahedron", "Volume"], 10, 100]]

Crossrefs

Cf. A379385 (surface area), A379387 (inradius), A379388 (midradius), A379389 (dihedral angle).

Cf. A185093 (volume of a (small) rhombicosidodecahedron with unit edge length).

Cf. A002163.

Sequence in context: A375078 A365237 A342980 * A094922 A230049 A088990

Adjacent sequences: A379382 A379383 A379385 * A379387 A379388 A379389

Keyword

nonn,cons,easy,new

Author

Paolo Xausa, Dec 23 2024

Status

approved