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Number of (n+1)X(4+1) 0..2 arrays with the minimum plus the maximum unequal to the lower median plus the upper median in every 2X2 subblock
1

%I #4 Jan 16 2014 15:52:19

%S 7632,267548,9533120,345346064,12495925760,454589648064,

%T 16501573788672,600431925362944,21815700608966656,793604369179700224,

%U 28844899001196888064,1049108569592280551424,38138454905136923672576

%N Number of (n+1)X(4+1) 0..2 arrays with the minimum plus the maximum unequal to the lower median plus the upper median in every 2X2 subblock

%C Column 4 of A235911

%H R. H. Hardin, <a href="/A235907/b235907.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 36*a(n-1) +1232*a(n-2) -49072*a(n-3) -320464*a(n-4) +21147264*a(n-5) -41996672*a(n-6) -3277026816*a(n-7) +16049849344*a(n-8) +185646088192*a(n-9) -1087945580544*a(n-10) -2355224936448*a(n-11) +10841935314944*a(n-12) +7255032332288*a(n-13) -30793405562880*a(n-14) -6500433002496*a(n-15) +26613764849664*a(n-16)

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2014