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%I #8 Sep 01 2018 12:36:42
%S 1852,1044,1232,1433,1614,1997,2526,3175,3917,4951,6416,8429,11076,
%T 14646,19563,26372,35700,48467,66013,90227,123621,169631,233029,
%U 320480,441157,607673,837409,1154415,1591910,2195730,3029088,4179251,5766701,7957760
%N Number of (n+3) X 10 0..1 matrices with each 4 X 4 subblock idempotent.
%C Column 7 of A224568.
%H R. H. Hardin, <a href="/A224567/b224567.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) - 2*a(n-2) - 2*a(n-3) + 4*a(n-4) - 3*a(n-5) + 2*a(n-7) -a(n-8) for n>10.
%F Empirical g.f.: x*(1852 - 4512*x + 1804*x^2 + 3529*x^3 - 5541*x^4 + 3865*x^5 + 833*x^6 - 2921*x^7 + 1045*x^8 + 36*x^9) / ((1 - x)^3*(1 + x)*(1 - x - x^4)). _Colin Barker_, Sep 01 2018
%e Some solutions for n=3:
%e ..1..1..1..1..1..1..1..0..0..0....1..0..0..0..1..0..0..0..0..0
%e ..0..0..0..0..0..0..0..0..0..0....1..0..0..0..1..0..0..0..0..0
%e ..0..0..0..0..0..0..0..0..0..0....0..0..0..0..1..0..0..0..0..0
%e ..0..0..0..0..0..0..0..0..0..0....0..0..0..0..1..0..0..0..0..0
%e ..0..0..0..0..0..0..0..0..0..0....0..0..0..0..1..0..0..0..0..0
%e ..0..1..0..1..1..1..1..1..1..1....0..0..0..0..1..0..0..0..0..1
%Y Cf. A224568.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 10 2013
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