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

Author

Jianing Song, Aug 12 2023

Keywords

• nonn
• cons

Comments

Decimal expansion of (1575+705*sqrt(5))/4.

Examples

			Equals 787.85698103433793399211...
		

Links

• Polytope Wiki, Hecatonicosachoron
• Wikipedia, 120-cell

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).

Programs

Mathematica

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

PARI

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