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

%I #4 Apr 11 2013 15:08:59

%S 65108492,1770078,1089765,951062,891884,877647,861932,884782,877730,

%T 938003,1024137,1155186,1312331,1585986,1933893,2408764,3002302,

%U 3788718,4754615,5977345,7449166,9332836,11688827,14683115,18522156,23570034

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

%C Column 1 of A224597

%H R. H. Hardin, <a href="/A224590/b224590.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -3*a(n-2) +4*a(n-3) -5*a(n-4) +6*a(n-5) -6*a(n-6) +6*a(n-7) -4*a(n-8) +3*a(n-9) -2*a(n-11) +6*a(n-12) -8*a(n-13) +11*a(n-14) -12*a(n-15) +13*a(n-16) -13*a(n-17) +11*a(n-18) -10*a(n-19) +6*a(n-20) -5*a(n-21) +a(n-23) -5*a(n-24) +5*a(n-25) -7*a(n-26) +7*a(n-27) -7*a(n-28) +7*a(n-29) -5*a(n-30) +5*a(n-31) -3*a(n-32) +3*a(n-33) -a(n-34) +a(n-35) for n>54

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 11 2013