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Number of 2*n X 12 binary arrays with row sums 6 and column sums n.
3

%I #25 Oct 12 2024 21:14:33

%S 1,924,32496156,3718394156400,729833528645228700,

%T 195428754450309450171024,64051375889927380035549804336,

%U 24197157773366540262083203214418624,10156485647319165206190655366818708639900,4623755659802671553551698062433487687144266000,2245303346871705713053772485416749032101579706759056

%N Number of 2*n X 12 binary arrays with row sums 6 and column sums n.

%H Christoph Koutschan, <a href="/A172558/b172558.txt">Table of n, a(n) for n = 0..39</a> (terms n=1..19 from R. H. Hardin)

%H Robert Dougherty-Bliss, Christoph Koutschan, Natalya Ter-Saakov, and Doron Zeilberger, <a href="https://arxiv.org/abs/2410.07435">The (Symbolic and Numeric) Computational Challenges of Counting 0-1 Balanced Matrices</a>, arXiv:2410.07435 [math.CO], 2024.

%Y Column k=6 of A376935.

%K nonn

%O 0,2

%A _R. H. Hardin_, Feb 06 2010

%E a(0)=1 prepended by _Christoph Koutschan_, Oct 12 2024