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%I #6 Apr 21 2021 11:57:23
%S 9,11,11,22,37,22,24,35,35,24,41,100,211,100,41,42,265,360,360,265,42,
%T 66,293,1461,1907,1461,293,66,65,756,2543,6931,6931,2543,756,65,97,
%U 1937,8732,21765,57941,21765,8732,1937,97,93,2346,15431,86233,216088,216088
%N T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with row and column sums nondecreasing, and no adjacent elements equal.
%C Table starts
%C ..9...11....22......24........41........42.........66.........65........97
%C .11...37....35.....100.......265.......293........756.......1937......2346
%C .22...35...211.....360......1461......2543.......8732......15431.....46953
%C .24..100...360....1907......6931.....21765......86233.....274628....965494
%C .41..265..1461....6931.....57941....216088....1661918....6745563..44238419
%C .42..293..2543...21765....216088...1283251...11808072...70311171.571963910
%C .66..756..8732...86233...1661918..11808072..221737222.1700323455
%C .65.1937.15431..274628...6745563..70311171.1700323455
%C .97.2346.46953..965494..44238419.571963910
%C .93.5788.84143.3146010.186635795
%H R. H. Hardin, <a href="/A233408/b233408.txt">Table of n, a(n) for n = 1..111</a>
%F Empirical for column k:
%F k=1: a(n) = 3*a(n-2) -3*a(n-4) +a(n-6).
%e Some solutions for n=5, k=4
%e ..2..0..1..0..1....0..1..2..0..2....0..2..0..2..0....1..0..1..2..0
%e ..0..2..0..1..2....1..2..0..2..1....2..0..1..0..1....0..1..2..0..2
%e ..1..0..1..2..1....0..1..2..1..2....0..2..0..2..0....1..2..0..2..0
%e ..0..1..2..1..2....2..0..1..2..1....2..0..2..0..2....2..0..1..0..2
%e ..1..2..1..2..1....0..1..2..1..2....0..2..1..2..1....1..2..0..2..0
%e ..2..1..2..1..2....1..2..1..2..1....2..0..2..0..2....0..1..2..0..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 09 2013
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