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A005464 Number of simplices in barycentric subdivision of n-simplex.
(Formerly M5391)

%I M5391

%S 1,127,6050,204630,5921520,158838240,4115105280,105398092800,

%T 2706620716800,70309810771200,1858166876966400,50148628078348800,

%U 1385482985542656000,39245951652171264000,1140942623868343296000,34060437199245929472000,1044402668566817624064000,32895725269182358302720000

%N Number of simplices in barycentric subdivision of n-simplex.

%D R. Austin, R. K. Guy, and R. Nowakowski, unpublished notes, circa 1987.

%D R. K. Guy, personal communication.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H R. Austin, R. K. Guy, & R. Nowakowski, <a href="/A000629/a000629.pdf">Unpublished notes, 1987</a>

%H Milan Janjic, <a href="http://www.pmfbl.org/janjic/">Enumerative Formulas for Some Functions on Finite Sets</a>

%F Essentially Stirling numbers of second kind - see A028246.

%p seq((d+2)!*(63*d^5-945*d^4+5355*d^3-13951*d^2+15806*d-5304)/2903040,d=5..30) ; # _R. J. Mathar_, Mar 19 2018

%K nonn,easy

%O 5,2

%A _N. J. A. Sloane_.

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Last modified July 23 22:49 EDT 2019. Contains 325278 sequences. (Running on oeis4.)