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 A253307 Number of (n+1)X(1+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally 3

%I #4 Dec 30 2014 08:24:00

%S 81,518,3550,23524,157476,1051870,7027770,46953514,313711862,

%T 2095963398,14003608312,93561234452,625103107952,4176451826546,

%U 27903796991886,186431421801416,1245589462955974,8322058035168122,55601505834527494

%N Number of (n+1)X(1+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally

%C Column 1 of A253314

%H R. H. Hardin, <a href="/A253307/b253307.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +14*a(n-2) +57*a(n-3) +79*a(n-4) +73*a(n-5) +99*a(n-6) -14*a(n-7) +48*a(n-8) -24*a(n-9) +32*a(n-10) for n>11

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014

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