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A364897 Decimal expansion of the 4-volume of the unit regular 600-cell. 2

%I #10 Jun 12 2024 16:17:12

%S 2,6,4,7,5,4,2,4,8,5,9,3,7,3,6,8,5,6,0,2,5,5,7,3,3,5,4,2,9,5,7,0,4,7,

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

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

%N Decimal expansion of the 4-volume of the unit regular 600-cell.

%C Decimal expansion of (50+25*sqrt(5))/4.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/600-cell">600-cell</a>

%H Polytope Wiki, <a href="https://polytope.miraheze.org/wiki/Hexacosichoron">Hexacosichoron</a>

%e Equals 26.47542485937368560255...

%t First[RealDigits[(50 + 25*Sqrt[5])/4, 10, 100]] (* _Paolo Xausa_, Jun 12 2024 *)

%o (PARI) (50+25*sqrt(5))/4

%Y Decimal expansion of 4-volumes: A364895 (5-cell), A000007 = 1 (8-cell or tesseract), A020793 = 1/6 (16-cell), A000038 = 2 (24-cell), A364896 (120-cell), this sequence (600-cell).

%Y Cf. A102208 (decimal expansion of the volume of the unit regular icosahedron).

%K nonn,cons

%O 2,1

%A _Jianing Song_, Aug 12 2023

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Last modified July 16 16:01 EDT 2024. Contains 374355 sequences. (Running on oeis4.)