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Revision History for A005463

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A005463

Number of simplices in barycentric subdivision of n-simplex.
(history; published version)

#27 by Michael De Vlieger at Wed Nov 23 08:57:57 EST 2022

STATUS

reviewed

approved

#26 by Michel Marcus at Tue Nov 22 23:52:35 EST 2022

STATUS

proposed

reviewed

#25 by G. C. Greubel at Tue Nov 22 22:42:46 EST 2022

STATUS

editing

proposed

#24 by G. C. Greubel at Tue Nov 22 22:41:54 EST 2022

LINKS

G. C. Greubel, <a href="/A005463/b005463.txt">Table of n, a(n) for n = 4..440</a>

FORMULA

a(n) = (n-4)! * Stirling2(n+2, n-3). - Alois P. Heinz, Apr 27 2022

MATHEMATICA

Table[(n-4)!*StirlingS2[n+2, n-3], {n, 4, 35}] (* G. C. Greubel, Nov 22 2022 *)

PROG

(Magma) [Factorial(n-4)*StirlingSecond(n+2, n-3): n in [4..35]]; // G. C. Greubel, Nov 22 2022

(SageMath) [factorial(n-4)*stirling_number2(n+2, n-3) for n in range(4, 36)] # G. C. Greubel, Nov 22 2022

CROSSREFS

Cf. A005460, A005461, A005462, A005464, A005465.

Cf. A028246, A112494.

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#23 by Michael De Vlieger at Wed Apr 27 13:54:35 EDT 2022

STATUS

proposed

approved

#22 by Alois P. Heinz at Wed Apr 27 13:32:42 EDT 2022

STATUS

editing

proposed

#21 by Alois P. Heinz at Wed Apr 27 13:32:26 EDT 2022

MAPLE

a:= n-> Stirling2(2+n, n-3)*(n-4)!:

seq(a(n), n=4..21); # Alois P. Heinz, Apr 27 2022

#20 by Alois P. Heinz at Wed Apr 27 13:28:40 EDT 2022

DATA

1, 63, 1932, 46620, 1020600, 21538440, 451725120, 9574044480, 207048441600, 4595022432000, 105006251750400, 2475732702643200, 60284572969420800, 1516762345722624000, 39433286715863040000, 1059143615076298752000, 29378569022287220736000, 841159994641469927424000

KEYWORD

nonn,more,changed

EXTENSIONS

More terms from Alois P. Heinz, Apr 27 2022

STATUS

proposed

editing

#19 by Michael De Vlieger at Wed Apr 27 12:54:59 EDT 2022

STATUS

editing

proposed

#18 by Michael De Vlieger at Wed Apr 27 12:54:51 EDT 2022

KEYWORD

nonn,more,changed

STATUS

proposed

editing

Discussion

Wed Apr 27

12:54

Michael De Vlieger: agreed