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.

A005462 Number of simplices in barycentric subdivision of n-simplex.

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%I A005462 M5225 #34 Nov 23 2022 08:57:53
%S A005462 1,31,602,10206,166824,2739240,46070640,801496080,14495120640,
%T A005462 273158645760,5368729766400,110055327782400,2351983118284800,
%U A005462 52361635508582400,1213240925049753600,29227769646147072000,731310069474496512000,18984684514588176384000
%N A005462 Number of simplices in barycentric subdivision of n-simplex.
%D A005462 R. Austin, R. K. Guy, and R. Nowakowski, unpublished notes, circa 1987.
%D A005462 R. K. Guy, personal communication.
%D A005462 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A005462 Micah Manary, <a href="/A005462/b005462.txt">Table of n, a(n) for n = 3..138</a>
%H A005462 R. Austin, R. K. Guy, and R. Nowakowski, <a href="/A000629/a000629.pdf">Unpublished notes, 1987</a>
%H A005462 Rajesh Kumar Mohapatra and Tzung-Pei Hong, <a href="https://doi.org/10.3390/math10071161">On the Number of Finite Fuzzy Subsets with Analysis of Integer Sequences</a>, Mathematics (2022) Vol. 10, No. 7, 1161.
%F A005462 Essentially Stirling numbers of second kind - see A028246.
%F A005462 a(n) = Stirling2(n+2,n-2)*(n-3)!. - _Alois P. Heinz_, Aug 28 2022
%t A005462 Table[(n-3)!*StirlingS2[n+2,n-2], {n,3,30}] (* _G. C. Greubel_, Nov 22 2022 *)
%o A005462 (Magma) [Factorial(n-3)*StirlingSecond(n+2,n-2): n in [3..30]]; // _G. C. Greubel_, Nov 22 2022
%o A005462 (SageMath) [factorial(n-3)*stirling_number2(n+2,n-2) for n in range(3,31)] # _G. C. Greubel_, Nov 22 2022
%Y A005462 Cf. A001298, A005460, A005461, A028246.
%K A005462 nonn,easy
%O A005462 3,2
%A A005462 _N. J. A. Sloane_