A377695 Decimal expansion of the volume of a truncated dodecahedron with unit edge length.

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

Offset

2,1

Links

Table of n, a(n) for n=2..91.

Eric Weisstein's World of Mathematics, Truncated Dodecahedron.

Wikipedia, Truncated dodecahedron.

Formula

Equals (5/12)*(99 + 47*sqrt(5)) = (5/12)*(99 + 47*A002163).

Example

85.039664559370881554679651012654159610712109542...

Mathematica

First[RealDigits[5/12*(99 + 47*Sqrt[5]), 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TruncatedDodecahedron", "Volume"], 10, 100]]

Crossrefs

Cf. A377694 (surface area), A377696 (circumradius), A377697 (midradius), A377698 (Dehn invariant, negated).

Cf. A102769 (analogous for a regular dodecahedron).

Cf. A002163.

Sequence in context: A154224 A257575 A154165 * A198216 A361260 A300074

Adjacent sequences: A377692 A377693 A377694 * A377696 A377697 A377698

Keyword

nonn,cons,easy

Author

Paolo Xausa, Nov 04 2024

Status

approved