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Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally
1

%I #4 Jan 17 2015 09:41:57

%S 20480,288000,3939840,50414592,659280384,8536982016,111370158592,

%T 1445588517376,18809857917440,244401967088128,3178205753000448,

%U 41308041898770944,537040145411359232,6980815424323469824

%N Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 3 of A253871

%H R. H. Hardin, <a href="/A253866/b253866.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 17*a(n-1) -16*a(n-2) -608*a(n-3) +3168*a(n-4) -23040*a(n-5) +62464*a(n-6) +148480*a(n-7) -477184*a(n-8) +1499136*a(n-9) -3899392*a(n-10) -8454144*a(n-11) +21626880*a(n-12) -2097152*a(n-13) -8388608*a(n-14) +25165824*a(n-15) -41943040*a(n-16) +16777216*a(n-17) for n>18

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2015