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A005462
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Number of simplices in barycentric subdivision of n-simplex.
(Formerly M5225)
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7
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1, 31, 602, 10206, 166824, 2739240, 46070640, 801496080, 14495120640, 273158645760, 5368729766400, 110055327782400, 2351983118284800, 52361635508582400, 1213240925049753600, 29227769646147072000, 731310069474496512000, 18984684514588176384000
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OFFSET
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3,2
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REFERENCES
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R. Austin, R. K. Guy, and R. Nowakowski, unpublished notes, circa 1987.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).
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LINKS
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FORMULA
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Essentially Stirling numbers of second kind - see A028246.
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MATHEMATICA
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Table[(n-3)!*StirlingS2[n+2, n-2], {n, 3, 30}] (* G. C. Greubel, Nov 22 2022 *)
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PROG
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(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
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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