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Number of (n+1)X(7+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal
1

%I #4 Jan 31 2014 06:33:50

%S 330433,20377961,1117775361,86863046591,5094225962785,457619414560859,

%T 27385111938746265,2738509536172477067,163523882162586207553,

%U 17866672312397065316531,1056619306386809386800201

%N Number of (n+1)X(7+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal

%C Column 7 of A236809

%H R. H. Hardin, <a href="/A236808/b236808.txt">Table of n, a(n) for n = 1..118</a>

%F Empirical: a(n) = 146*a(n-1) +8581*a(n-2) -2153126*a(n-3) +36986164*a(n-4) +8566608616*a(n-5) -403792107492*a(n-6) -4627004769288*a(n-7) +614603881718240*a(n-8) -11583617148991360*a(n-9) +50064271774317056*a(n-10) +362780843147264*a(n-11) -383746761879830528*a(n-12) +600909926643662848*a(n-13) +270740030729748480*a(n-14) -1110528281385369600*a(n-15) +583172068737024000*a(n-16)

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 31 2014