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 A005464 Number of simplices in barycentric subdivision of n-simplex. (Formerly M5391) 5
 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 OFFSET 5,2 REFERENCES R. Austin, R. K. Guy, and R. Nowakowski, unpublished notes, circa 1987.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 LINKS G. C. Greubel, Table of n, a(n) for n = 5..440 R. Austin, R. K. Guy, and R. Nowakowski, Unpublished notes, 1987 Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets Rajesh Kumar Mohapatra and Tzung-Pei Hong, On the Number of Finite Fuzzy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) = (n-5)! * Stirling2(n+2, n-4). - G. C. Greubel, Nov 22 2022 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 MATHEMATICA Table[(n-5)!*StirlingS2[n+2, n-4], {n, 5, 35}] (* G. C. Greubel, Nov 22 2022 *) PROG (Magma) [Factorial(n-5)*StirlingSecond(n+2, n-4): n in [5..35]]; // G. C. Greubel, Nov 22 2022 (SageMath) [factorial(n-5)*stirling_number2(n+2, n-4) for n in range(5, 36)] # G. C. Greubel, Nov 22 2022 CROSSREFS Cf. A005460, A005461, A005462, A005463, A005465. Cf. A028246, A144969. 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 September 14 06:54 EDT 2024. Contains 375920 sequences. (Running on oeis4.)