A140935 Number of 3 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order.

1, 364, 41405, 2318680, 78835120, 1837984512, 31803696288, 431621592480, 4783805983320, 44648855844320, 359423289546776, 2543610972177184, 16072267131888800, 91841526467936000, 479707973069130000, 2311063705550691000, 10348807328532138375

Offset

0,2

Comments

In the definition, 3,11,n can be permuted, see formula.

Links

Table of n, a(n) for n=0..16.

Feihu Liu, Guoce Xin, and Chen Zhang, Ehrhart Polynomials of Order Polytopes: Interpreting Combinatorial Sequences on the OEIS, arXiv:2412.18744 [math.CO], 2024. See p. 25.

Formula

(Empirical) set p,q,r to n,11,3 (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: A278002 A329187 A107509 * A249671 A022196 A098252

Adjacent sequences: A140932 A140933 A140934 * A140936 A140937 A140938

Keyword

nonn,changed

Author

R. H. Hardin, Jul 05 2008

Extensions

Edited by N. J. A. Sloane, Aug 28 2010 and May 08 2012

Status

approved