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Number of (n+1) X 6 0..2 arrays with the sums of 2 X 2 subblocks nondecreasing rightwards and downwards.
2

%I #7 Apr 20 2021 19:23:57

%S 49284,2173565,87487117,2019310610,45791699846,687853333430,

%T 10297878073062,113754005579615,1254605391285859,10988697166912314,

%U 96030748646457765,701414832964037835,5107498255064984418

%N Number of (n+1) X 6 0..2 arrays with the sums of 2 X 2 subblocks nondecreasing rightwards and downwards.

%C Column 5 of A204230.

%H R. H. Hardin, <a href="/A204227/b204227.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..1..2..2..1..2..2....2..1..2..0..1..1....2..1..2..0..0..1....0..0..2..1..0..0

%e ..1..0..0..1..1..1....0..0..0..1..1..2....0..0..0..1..2..1....1..1..0..0..2..1

%e ..1..2..2..2..2..2....1..2..1..1..0..2....2..2..2..1..2..1....0..1..1..2..1..1

%e ..2..1..1..1..1..1....0..0..0..1..1..2....0..0..1..1..2..2....0..2..2..1..2..2

%e ..1..2..2..2..2..2....1..2..1..1..0..2....2..2..2..2..1..2....2..0..2..2..2..1

%Y Cf. A204230.

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 13 2012