%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