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A005462 Number of simplices in barycentric subdivision of n-simplex.
(Formerly M5225)
7
1, 31, 602, 10206, 166824, 2739240, 46070640, 801496080, 14495120640, 273158645760, 5368729766400, 110055327782400, 2351983118284800, 52361635508582400, 1213240925049753600, 29227769646147072000, 731310069474496512000, 18984684514588176384000 (list; graph; refs; listen; history; text; internal format)
OFFSET
3,2
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R. Austin, R. K. Guy, and R. Nowakowski, unpublished notes, circa 1987.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
R. Austin, R. K. Guy, and R. Nowakowski, Unpublished notes, 1987
Rajesh Kumar Mohapatra and Tzung-Pei Hong, On the Number of Finite Fuzzy Subsets with Analysis of Integer Sequences, Mathematics (2022) Vol. 10, No. 7, 1161.
FORMULA
Essentially Stirling numbers of second kind - see A028246.
a(n) = Stirling2(n+2,n-2)*(n-3)!. - Alois P. Heinz, Aug 28 2022
MATHEMATICA
Table[(n-3)!*StirlingS2[n+2, n-2], {n, 3, 30}] (* G. C. Greubel, Nov 22 2022 *)
PROG
(Magma) [Factorial(n-3)*StirlingSecond(n+2, n-2): n in [3..30]]; // G. C. Greubel, Nov 22 2022
(SageMath) [factorial(n-3)*stirling_number2(n+2, n-2) for n in range(3, 31)] # G. C. Greubel, Nov 22 2022
CROSSREFS
Sequence in context: A022755 A003533 A360761 * A028201 A028184 A215794
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified February 27 21:03 EST 2024. Contains 370378 sequences. (Running on oeis4.)