A224591 - OEIS

%I #4 Apr 11 2013 15:09:39

%S 1770078,147268,100703,101365,107496,110868,115146,114018,114766,

%T 133978,169910,214886,272088,334806,399468,466019,536615,623079,

%U 745408,912260,1138206,1426319,1776503,2191326,2681245,3258156,3953601,4814939,5903764

%N Number of (n+7)X9 0..1 matrices with each 8X8 subblock idempotent

%C Column 2 of A224597

%H R. H. Hardin, <a href="/A224591/b224591.txt">Table of n, a(n) for n = 1..154</a>

%F Empirical: a(n) = 2*a(n-1) -2*a(n-2) +a(n-3) -a(n-4) +2*a(n-5) -3*a(n-6) +4*a(n-7) -3*a(n-8) +3*a(n-9) -2*a(n-10) +3*a(n-11) -2*a(n-12) +3*a(n-13) -2*a(n-14) +a(n-15) -a(n-17) -2*a(n-19) +a(n-20) -4*a(n-21) +2*a(n-22) -4*a(n-23) +3*a(n-24) -5*a(n-25) +4*a(n-26) -3*a(n-27) +3*a(n-28) -2*a(n-29) +4*a(n-30) -2*a(n-31) +3*a(n-32) +a(n-34) +a(n-35) +a(n-39) -2*a(n-40) +a(n-41) -a(n-42) -a(n-44) +a(n-45) -a(n-46) for n>59

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 11 2013