A253521 - OEIS

%I #4 Jan 03 2015 07:52:29

%S 42669,169828,256914,370028,673229,1439791,3429207,8936967,24799705,

%T 71469938,210239277,624906937,1866784570,5589710182,16755089278,

%U 50247017691,150717649463,452123299882,1356332753987,4068952191477

%N Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically

%C Column 5 of A253524

%H R. H. Hardin, <a href="/A253521/b253521.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -33*a(n-2) +65*a(n-3) -75*a(n-4) +51*a(n-5) -19*a(n-6) +3*a(n-7) for n>15

%e Some solutions for n=2

%e ..2..2..0..1..1..1....1..1..0..0..1..2....1..2..0..2..2..0....2..2..0..0..2..2

%e ..2..1..0..0..0..0....1..0..0..0..0..0....2..2..0..1..1..0....2..2..0..0..1..1

%e ..0..0..0..2..2..2....1..0..2..2..2..1....0..0..0..0..1..2....2..1..0..0..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2015