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Number of (n+1)X6 binary arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum
1

%I #12 Nov 01 2019 18:37:53

%S 676,1408,3196,9368,23064,61676,149828,433296,1073036,3000848,7423780,

%T 21476064,53645816,153197812,383014100,1109241856,2792472812,

%U 8043408452,20257150840,58652173360,148613711308,429039760096,1086671505564

%N Number of (n+1)X6 binary arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum

%C Column 5 of A185798

%H R. H. Hardin, <a href="/A185794/b185794.txt">Table of n, a(n) for n = 1..200</a>

%H Robert Israel, <a href="/A185794/a185794.txt">Linear recurrence of order 120 for n >= 123</a>

%H Robert Israel, <a href="/A185794/a185794.pdf">Maple-assisted derivation of recurrence</a>

%F Linear recurrence of order 120 for n >= 123 (see links). - _Robert Israel_, Oct 31 2019

%e Some solutions for 3X6

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 04 2011