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A005464 Number of simplices in barycentric subdivision of n-simplex.
(Formerly M5391)
1
1, 127, 6050, 204630, 5921520, 158838240, 4115105280, 105398092800, 2706620716800, 70309810771200, 1858166876966400, 50148628078348800, 1385482985542656000, 39245951652171264000, 1140942623868343296000, 34060437199245929472000, 1044402668566817624064000, 32895725269182358302720000 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,2

REFERENCES

R. Austin, R. K. Guy, and R. Nowakowski, unpublished notes, circa 1987.

R. K. Guy, personal communication.

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

LINKS

Table of n, a(n) for n=5..22.

R. Austin, R. K. Guy, & R. Nowakowski, Unpublished notes, 1987

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

FORMULA

Essentially Stirling numbers of second kind - see A028246.

MAPLE

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

CROSSREFS

Sequence in context: A201071 A137789 A268663 * A160898 A140477 A110828

Adjacent sequences:  A005461 A005462 A005463 * A005465 A005466 A005467

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 18 15:25 EDT 2019. Contains 324213 sequences. (Running on oeis4.)