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%I #11 May 11 2020 19:19:54
%S 2,3,4,4,9,14,5,16,87,140,6,25,340,5673,4322,7,36,1001,89520,2577513,
%T 434542,8,49,2442,790425,290838284,8459809773,144109562,9,64,5215,
%U 4756140,11991502235,12092687195284,207495141083975,165431317452,10,81
%N T(n,k) is the number of n X n 0..k arrays with row and column sums equal.
%C Table starts
%C ............2...............3..............4................5............6
%C ............4...............9.............16...............25...........36
%C ...........14..............87............340.............1001.........2442
%C ..........140............5673..........89520...........790425......4756140
%C .........4322.........2577513......290838284......11991502235.255657603186
%C .......434542......8459809773.12092687195284.3632894572698505
%C ....144109562.207495141083975
%C .165431317452
%H R. H. Hardin, <a href="/A202784/b202784.txt">Table of n, a(n) for n = 1..42</a>
%e Some solutions for n=4 k=3
%e ..3..1..2..1....2..2..0..3....1..1..1..2....1..3..0..0....1..2..0..2
%e ..2..3..2..0....1..2..2..2....3..0..1..1....1..0..1..2....3..1..0..1
%e ..2..2..0..3....3..0..3..1....0..3..2..0....2..0..1..1....0..0..3..2
%e ..0..1..3..3....1..3..2..1....1..1..1..2....0..1..2..1....1..2..2..0
%Y Rows 3..5 are A202785, A202786, A202787.
%Y Columns 1..15 are A067209, A067210, A067211, A067212, A067213, A067214, A067215, A067216, A067217, A067218, A067219, A067220, A067221, A067222, A067223.
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 24 2011
%E Added crossrefs - _R. H. Hardin_, Jan 05 2012
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