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%I #10 Mar 18 2024 16:52:09
%S 1,3,27,54,740,2827,3113,27008,71704,59070,408600,894812,621910,
%T 3704174,7087046,4373879,23558696,41171126,23396689,116650532,
%U 190010902,101247815,476808796,736407602,373431803,1678517670,2482516953,1208979602,5235742304,7477415626
%N Number of n X 7 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.
%H Alois P. Heinz, <a href="/A201276/b201276.txt">Table of n, a(n) for n = 0..175</a> (terms n = 1..82 from R. H. Hardin)
%e Some solutions for n=5
%e ..0..0..0..0..0..1..2....0..0..0..0..0..0..2....0..0..0..0..0..0..1
%e ..0..0..0..1..1..1..2....0..0..1..1..1..1..2....0..0..0..1..1..1..2
%e ..0..0..0..1..1..1..2....0..1..1..1..2..2..2....0..0..0..1..1..2..2
%e ..1..1..1..1..2..2..2....0..1..1..1..2..2..2....1..1..1..1..1..2..2
%e ..1..2..2..2..2..2..2....0..1..1..2..2..2..2....1..2..2..2..2..2..2
%Y Column 7 of A201277.
%K nonn
%O 0,2
%A _R. H. Hardin_, Nov 29 2011
%E a(0)=1 prepended by _Alois P. Heinz_, Mar 18 2024