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%I #8 Sep 02 2018 06:46:39
%S 1045,894,1086,1247,1609,2092,2656,3497,4731,6434,8878,12451,17617,
%T 25112,36060,52049,75403,109570,159586,232811,340053,497156,727324,
%U 1064569,1558747,2282918,3344154,4899383,7178593,10518844,15414124,22588409
%N Number of (n+2) X 8 0..2 matrices with each 3 X 3 subblock idempotent.
%C Column 6 of A224606.
%H R. H. Hardin, <a href="/A224604/b224604.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) - 6*a(n-2) + 5*a(n-3) - 4*a(n-4) + 3*a(n-5) - a(n-6) for n>8.
%F Empirical g.f.: x*(1045 - 3286*x + 3780*x^2 - 2958*x^3 + 2847*x^4 - 1851*x^5 + 414*x^6 + 4*x^7) / ((1 - x)^3*(1 - x - x^3)). - _Colin Barker_, Sep 02 2018
%e Some solutions for n=3:
%e ..1..0..0..1..0..0..0..1....1..0..0..1..0..0..2..0....1..0..0..1..0..0..0..2
%e ..1..0..0..1..0..0..0..1....1..0..0..1..0..0..1..0....1..0..0..1..0..0..0..0
%e ..1..0..0..1..0..0..0..1....1..0..0..1..0..0..1..0....0..0..0..1..0..0..0..1
%e ..1..0..0..1..0..0..0..1....1..0..0..1..0..0..1..0....0..0..0..1..0..0..0..1
%e ..2..0..0..1..0..0..0..1....1..0..0..1..0..0..1..0....0..0..0..1..0..0..0..1
%Y Cf. A224606.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 11 2013
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