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 A172609 a(n) = (8n)!/(8!^n). 6
 1, 1, 12870, 9465511770, 99561092450391000, 7656714453153197981835000, 2889253496242619386328267523990000, 4104167472585675600759440022842715359250000, 18165723931630806756964027928179555634194028454000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS From Tilman Piesk, Oct 30 2014: (Start) Column 8 of A187783. Number of permutations of a multiset that contains n different elements, each occurring 8 times. Or in other words (the former title of this sequence): Number of 8*n X n 0..1 arrays with row sums 1 and column sums 8. (End) LINKS Tilman Piesk, Table of n, a(n) for n = 0..54 (first 12 terms from R. H. Hardin) FORMULA a(n) = (8n)!/(8!^n). EXAMPLE a(3) = (8*3)!/(8!^3) = 9465511770 is the number of permutations of a multiset that contains 3 different elements 8 times, e.g., {1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3}. MAPLE A172609:=n->(8*n)!/(40320^n): seq(A172609(n), n=0..10); # Wesley Ivan Hurt, Nov 01 2014 MATHEMATICA Table[(8 n)! / (40320^n), {n, 0, 10}] (* Vincenzo Librandi, Nov 01 2014 *) PROG (Magma) [Factorial(8*n)/(40320^n): n in [0..20]]; // Vincenzo Librandi, Nov 01 2014 CROSSREFS Sequence in context: A351487 A177311 A177312 * A172560 A031805 A244171 Adjacent sequences: A172606 A172607 A172608 * A172610 A172611 A172612 KEYWORD nonn,easy AUTHOR R. H. Hardin, Feb 06 2010 EXTENSIONS Name changed by Tilman Piesk, Oct 30 2014 STATUS approved

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Last modified July 18 16:16 EDT 2024. Contains 374388 sequences. (Running on oeis4.)