cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A364895 Decimal expansion of the 4-volume of the unit regular pentachoron (5-cell).

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%I A364895 #16 Jun 12 2024 16:17:17
%S A364895 0,2,3,2,9,2,3,7,4,7,6,5,6,2,2,8,0,9,3,3,7,5,9,5,5,5,9,0,4,9,2,8,4,1,
%T A364895 2,7,4,5,2,5,0,6,4,4,1,2,4,5,9,5,3,3,9,2,9,6,1,1,5,5,1,7,9,6,3,9,6,9,
%U A364895 2,9,2,6,3,0,8,7,2,7,1,3,4,3,6,8,9,0,0,1,5,0,0,8,7,2,7,8,9,8,2,0
%N A364895 Decimal expansion of the 4-volume of the unit regular pentachoron (5-cell).
%C A364895 Decimal expansion of sqrt(5)/96.
%C A364895 In general, the n-volume of the unit regular n-simplex is sqrt(n+1)/(n!*2^(n/2)).
%H A364895 Wikipedia, <a href="https://en.wikipedia.org/wiki/5-cell">5-cell</a>
%H A364895 Polytope Wiki, <a href="https://polytope.miraheze.org/wiki/Pentachoron">Pentachoron</a>
%e A364895 Equals 0.02329237476562280933...
%t A364895 First[RealDigits[Sqrt[5]/96, 10, 100, -1]] (* _Paolo Xausa_, Jun 12 2024 *)
%o A364895 (PARI) sqrt(5)/96
%Y A364895 Decimal expansion of 4-volumes: this sequence (5-cell), A000007 = 1 (8-cell or tesseract), A020793 = 1/6 (16-cell), A000038 = 2 (24-cell), A364896 (120-cell), A364897 (600-cell).
%Y A364895 Decimal expansion of the n-volume of the unit regular n-simplex: A120011 (n=2), A020829 (n=3), this sequence (n=4).
%K A364895 nonn,cons
%O A364895 0,2
%A A364895 _Jianing Song_, Aug 12 2023