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A186592 Number of (n+3)X5 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock 1

%I

%S 48243,2703,8853,104547,444066,884466,1126074,1184226,1210122,1236594,

%T 1282434,1586349,2884656,5616483,9131238,13594674,21118974,33023250,

%U 47413830,65562198,96788079,149349369,219913836,315141975,472175553

%N Number of (n+3)X5 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock

%C Column 2 of A186599

%H R. H. Hardin, <a href="/A186592/b186592.txt">Table of n, a(n) for n = 1..159</a>

%F Empirical: a(n)=2*a(n-1)-a(n-2)+3*a(n-4)-6*a(n-5)+3*a(n-6)+3*a(n-8)-3*a(n-9) for n>14

%e Some solutions for 7X5

%e ..0..0..2..0..3....0..0..2..3..2....0..0..0..3..3....0..0..0..2..3

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

%e ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0

%e ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0

%e ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0

%e ..1..1..0..0..0....2..0..0..0..0....3..0..0..0..0....0..0..0..0..0

%e ..0..3..0..0..0....0..3..0..0..0....2..1..0..0..0....3..2..1..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 24 2011

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Last modified May 24 21:08 EDT 2022. Contains 354043 sequences. (Running on oeis4.)