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Number of (n+1)X4 0..3 arrays with every 2X2 subblock singular
1

%I #5 Mar 31 2012 12:36:01

%S 2248,108496,1967440,62051344,1444491280,39939558160,1005763454224,

%T 26695990774288,688562611427344,18047210235975952,468881159345732368,

%U 12241663779855722512,318750682398626741776,8312086512859451766544

%N Number of (n+1)X4 0..3 arrays with every 2X2 subblock singular

%C Column 3 of A184773

%H R. H. Hardin, <a href="/A184767/b184767.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=36*a(n-1)-51*a(n-2)-7976*a(n-3)+65448*a(n-4)+105984*a(n-5)-2142720*a(n-6)+4230144*a(n-7)

%e Some solutions for 3X4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 21 2011