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 A140913 Number of 4 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,8,n can be permuted, see formula. 0
 1, 495, 70785, 4723719, 184225041, 4789851066, 90474964580, 1318349483880, 15484613937936, 151561524301616, 1268665346776464, 9271015995674160, 60142744792450320, 351141102288229176, 1866359220145419780, 9118323640906544350, 41286527321442170625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..16. FORMULA (empirical) set p,q,r to n,8,4 (in any order) in s=p+q+r-1; a(n) = product {i in 0..r-1} (binomial(s,p+i)*i!/(s-i)^(r-i-1)) CROSSREFS Sequence in context: A027808 A104478 A133352 * A214555 A333756 A179170 Adjacent sequences: A140910 A140911 A140912 * A140914 A140915 A140916 KEYWORD nonn AUTHOR R. H. Hardin, Jul 05 2008 STATUS approved

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Last modified December 10 04:38 EST 2023. Contains 367699 sequences. (Running on oeis4.)