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Number of (n+4)X6 0..2 matrices with each 5X5 subblock idempotent
1

%I #4 Apr 12 2013 07:48:27

%S 20465,15354,19596,22081,23453,24252,31702,43635,58076,73708,89988,

%T 113491,148896,198454,263524,344683,449230,588930,778104,1032073,

%U 1367122,1806502,2385414,3153261,4175034,5531556,7327326,9701805,12844004

%N Number of (n+4)X6 0..2 matrices with each 5X5 subblock idempotent

%C Column 2 of A224625

%H R. H. Hardin, <a href="/A224619/b224619.txt">Table of n, a(n) for n = 1..64</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4) -a(n-7) +a(n-8) -a(n-9) +a(n-10) +a(n-12) -a(n-13) for n>18

%e Some solutions for n=2

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 12 2013