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A224594 Number of (n+7)X12 0..1 matrices with each 8X8 subblock idempotent 1

%I #4 Apr 11 2013 15:11:37

%S 891884,107496,99428,108764,116744,122713,126820,129646,131588,150819,

%T 187014,236085,293902,357451,424560,494058,565037,654785,780204,

%U 954187,1185430,1479852,1840901,2270907,2771411,3361205,4075790,4963927,6082850

%N Number of (n+7)X12 0..1 matrices with each 8X8 subblock idempotent

%C Column 5 of A224597

%H R. H. Hardin, <a href="/A224594/b224594.txt">Table of n, a(n) for n = 1..63</a>

%F Empirical: a(n) = 3*a(n-1) -4*a(n-2) +4*a(n-3) -4*a(n-4) +4*a(n-5) -3*a(n-6) +a(n-7) +2*a(n-8) -5*a(n-9) +6*a(n-10) -6*a(n-11) +6*a(n-12) -6*a(n-13) +4*a(n-14) -a(n-15) -a(n-16) +2*a(n-17) -2*a(n-18) +2*a(n-19) -2*a(n-20) +2*a(n-21) -a(n-22) for n>28

%e Some solutions for n=3

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

%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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 11 2013

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Last modified May 9 04:02 EDT 2024. Contains 372341 sequences. (Running on oeis4.)