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Number of (n+6)X13 0..1 matrices with each 7X7 subblock idempotent
1

%I #4 Apr 11 2013 08:51:29

%S 146715,28629,29066,31741,34107,35891,37202,38192,43958,54300,68099,

%T 84280,102048,120877,140440,165512,200668,249364,313981,396105,496796,

%U 616787,761586,941276,1169396,1461866,1836192,2310940,2905409,3644406

%N Number of (n+6)X13 0..1 matrices with each 7X7 subblock idempotent

%C Column 7 of A224588

%H R. H. Hardin, <a href="/A224587/b224587.txt">Table of n, a(n) for n = 1..96</a>

%F Empirical: a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4) +a(n-7) -3*a(n-8) +3*a(n-9) -a(n-10) for n>16

%e Some solutions for n=2

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 11 2013