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Number of (n+6)X12 0..1 matrices with each 7X7 subblock idempotent
1

%I #4 Apr 11 2013 08:50:37

%S 138581,27611,27945,30456,32814,34588,35891,36872,42492,52620,66173,

%T 82088,99582,118129,137408,162051,196571,244386,307863,388574,487577,

%U 605597,748003,924665,1148883,1436312,1804191,2270805,2855176,3581683

%N Number of (n+6)X12 0..1 matrices with each 7X7 subblock idempotent

%C Column 6 of A224588

%H R. H. Hardin, <a href="/A224586/b224586.txt">Table of n, a(n) for n = 1..115</a>

%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) -2*a(n-3) +3*a(n-4) -a(n-5) +a(n-7) -2*a(n-8) +2*a(n-10) -a(n-11) for n>17

%e Some solutions for n=2

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 11 2013