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Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
1

%I #4 Feb 08 2014 10:44:53

%S 328,1724,9108,50876,284368,1553960,8478776,46757986,257959884,

%T 1416477192,7776398684,42785177212,235416777178,1294039386286,

%U 7112841515544,39114977306998,215104356057896,1182657379537690

%N Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 2 of A237511

%H R. H. Hardin, <a href="/A237505/b237505.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 51*a(n-3) +452*a(n-4) +957*a(n-5) +1876*a(n-6) -1653*a(n-7) -28721*a(n-8) -62762*a(n-9) -54279*a(n-10) +103874*a(n-11) +439699*a(n-12) +514519*a(n-13) +101483*a(n-14) -1040322*a(n-15) -1791750*a(n-16) -259805*a(n-17) +1006112*a(n-18) +1409914*a(n-19) +1597459*a(n-20) -244216*a(n-21) -1055715*a(n-22) -360036*a(n-23) -212913*a(n-24) -59275*a(n-25) -17332*a(n-26) -1418*a(n-27) -86*a(n-28) +8*a(n-29)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 08 2014