A253731 - OEIS

%I #4 Jan 10 2015 19:33:42

%S 81,518,518,3550,6530,3550,23524,83884,83884,23524,157476,1076964,

%T 2240030,1076964,157476,1051870,13552198,57696638,57696638,13552198,

%U 1051870,7027770,172901292,1480378584,3121388776,1480378584,172901292

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally and vertically

%C Table starts

%C .......81.........518...........3550.............23524...............157476

%C ......518........6530..........83884...........1076964.............13552198

%C .....3550.......83884........2240030..........57696638...........1480378584

%C ....23524.....1076964.......57696638........3121388776.........161854461064

%C ...157476....13552198.....1480378584......161854461064.......17538826483048

%C ..1051870...172901292....37974926408.....8663276276434.....1912144574026028

%C ..7027770..2184376310...973419692344...450354383773758...208389227577404922

%C .46953514.27787898426.24954361428316.24027672779181962.22725952700566314488

%H R. H. Hardin, <a href="/A253731/b253731.txt">Table of n, a(n) for n = 1..97</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 10] for n>11

%F k=2: [order 44] for n>46

%e Some solutions for n=2 k=4

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

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

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

%Y Column 1 is A253307

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 10 2015