A364896 Decimal expansion of the 4-volume of the unit regular 120-cell.

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

Offset

3,1

Links

Table of n, a(n) for n=3..100.

Polytope Wiki, Hecatonicosachoron.

Eric Weisstein's World of Mathematics, 120-Cell.

Wikipedia, 120-cell.

Index entries for algebraic numbers, degree 2.

Formula

Equals (1575+705*sqrt(5))/4.

Minimal polynomial: 4*x^2 - 3150*x - 1125. - Amiram Eldar, Jun 07 2026

Example

787.85698103433793399211...

Mathematica

First[RealDigits[(1575 + 705*Sqrt[5])/4, 10, 100]] (* Paolo Xausa, Jun 12 2024 *)

Prog

(PARI) (1575+705*sqrt(5))/4

Crossrefs

Decimal expansion of 4-volumes: A364895 (5-cell), A000007 = 1 (8-cell or tesseract), A020793 = 1/6 (16-cell), A000038 = 2 (24-cell), this sequence (120-cell), A364897 (600-cell).

Cf. A102769 (decimal expansion of the volume of the unit regular dodecahedron).

Sequence in context: A011283 A179659 A064859 * A233778 A217168 A010728

Adjacent sequences: A364893 A364894 A364895 * A364897 A364898 A364899

Keyword

nonn,cons

Author

Jianing Song, Aug 12 2023

Status

approved