%I #6 Apr 21 2024 22:56:30

%S 16696,5696,5896,6659,7295,7884,8294,9831,12556,16161,20310,25054,

%T 30119,36575,45620,58199,74850,96163,122349,154920,196491,250483,

%U 320946,412715,530569,680836,872526,1118125,1434098,1841746,2367044,3042526,3909641

%N Number of (n+5) X 8 0..1 matrices with each 6 X 6 subblock idempotent.

%C Column 3 of A224577.

%H R. H. Hardin, <a href="/A224572/b224572.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=2

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

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

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

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

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

%Y Cf. A224577.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 10 2013