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A224584 Number of (n+6)X10 0..1 matrices with each 7X7 subblock idempotent 1

%I #4 Apr 11 2013 08:49:08

%S 122508,24643,24293,26528,28783,30456,31741,32736,38059,47654,60745,

%T 76148,93083,111033,129756,153513,186786,232806,294033,371986,467644,

%U 581659,719363,890061,1106560,1384000,1739159,2189675,2754115,3455903

%N Number of (n+6)X10 0..1 matrices with each 7X7 subblock idempotent

%C Column 4 of A224588

%H R. H. Hardin, <a href="/A224584/b224584.txt">Table of n, a(n) for n = 1..159</a>

%F Empirical: a(n) = 3*a(n-1) -4*a(n-2) +4*a(n-3) -3*a(n-4) +a(n-5) +a(n-6) -2*a(n-7) +2*a(n-8) -2*a(n-9) +a(n-10) -a(n-13) +2*a(n-14) -2*a(n-15) +2*a(n-16) -a(n-17) for n>23

%e Some solutions for n=2

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 11 2013

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)