A254254 - OEIS

%I #6 Oct 19 2021 21:11:31

%S 2812,14681,59531,223357,888391,3647288,15380009,65954108,284203166,

%T 1230877185,5342480244,23208777649,100906958889,438856975356,

%U 1908960099543,8304782737694,36130959962354,157196994230935

%N Number of (n+2) X (2+2) 0..1 arrays with every 3 X 3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

%C Column 2 of A254260.

%H R. H. Hardin, <a href="/A254254/b254254.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +9*a(n-2) -12*a(n-3) -105*a(n-4) -35*a(n-5) +376*a(n-6) +453*a(n-7) -295*a(n-8) -1041*a(n-9) -767*a(n-10) +468*a(n-11) +1203*a(n-12) +829*a(n-13) +48*a(n-14) -921*a(n-15) -766*a(n-16) +251*a(n-17) +334*a(n-18) +12*a(n-19) -36*a(n-20) -8*a(n-21) for n > 25.

%e Some solutions for n=3

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

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

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

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

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

%Y Cf. A254260.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 27 2015