A253346 - OEIS

%I #6 Apr 26 2023 11:48:32

%S 335,3160,31156,305872,3013228,29779356,294392852,2912660356,

%T 28819853684,285212776212,2822672937940,27936281452340,

%U 276491156846740,2736514043096372,27084166365743700,268061337010794484

%N Number of (n+1) X (4+1) 0..1 arrays with every 2 X 2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

%C Column 4 of A253350.

%H R. H. Hardin, <a href="/A253346/b253346.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-1) -73*a(n-2) -256*a(n-3) +2060*a(n-4) -1216*a(n-5) -12612*a(n-6) +18224*a(n-7) +20992*a(n-8) -40064*a(n-9) -9984*a(n-10) +24576*a(n-11) for n>14.

%e Some solutions for n=3

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

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

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

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

%Y Cf. A253350.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014