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A140934 Number of 2 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 2,11,n can be permuted, see formula. 0
1, 78, 2366, 41405, 496860, 4504864, 32821152, 200443464, 1057896060, 4936848280, 20734762776, 79483257308, 281248448936, 927192688800, 2869882132000, 8394405236100, 23331508670925, 61912369414350, 157496378334750, 385451662766625, 910400117772600 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

(empirical) set p,q,r to n,11,2 (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: A187590 A172217 A036524 * A133239 A146479 A017794

Adjacent sequences:  A140931 A140932 A140933 * A140935 A140936 A140937

KEYWORD

nonn

AUTHOR

R. H. Hardin rhh(at)cadence.com, Jul 05 2008

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Last modified February 17 03:37 EST 2012. Contains 205978 sequences.