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Number of (n+7)X13 0..1 matrices with each 8X8 subblock idempotent
1

%I #4 Apr 11 2013 15:12:21

%S 877647,110868,105212,114337,122713,128682,132787,135622,137700,

%T 157201,193783,243309,301667,365687,433384,503411,574992,665573,

%U 792178,967802,1201330,1498385,1862641,2296415,2801260,3396151,4117085,5013150,6142255

%N Number of (n+7)X13 0..1 matrices with each 8X8 subblock idempotent

%C Column 6 of A224597

%H R. H. Hardin, <a href="/A224595/b224595.txt">Table of n, a(n) for n = 1..52</a>

%F Empirical: a(n) = 3*a(n-1) -4*a(n-2) +5*a(n-3) -7*a(n-4) +8*a(n-5) -8*a(n-6) +8*a(n-7) -6*a(n-8) +3*a(n-9) -2*a(n-10) +3*a(n-12) -4*a(n-13) +4*a(n-14) -4*a(n-15) +3*a(n-16) -2*a(n-17) +2*a(n-18) -a(n-19) for n>25

%e Some solutions for n=3

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

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

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

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

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

%e ..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..0..1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 11 2013