A254390 - OEIS

%I #4 Jan 29 2015 19:57:35

%S 512,3372,3372,21304,35529,21304,136868,406548,409051,136868,881432,

%T 4711324,8533796,4766957,881432,5659548,54122833,174326376,175329586,

%U 54712559,5659548,36317408,623732385,3575408117,6208345944,3587965682

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

%C Table starts

%C ........512...........3372.............21304...............136868

%C .......3372..........35529............406548..............4711324

%C ......21304.........409051...........8533796............174326376

%C .....136868........4766957.........175329586...........6208345944

%C .....881432.......54712559........3587965682.........221610958936

%C ....5659548......630430184.......73923120984........7953519068760

%C ...36317408.....7273310228.....1521733260456......284691702793848

%C ..233116252....83838776143....31311650491630....10191880755435432

%C .1496407920...966536400371...644509809793486...365002334364846728

%C .9605229252.11143872854174.13265570942855016.13069563587899442888

%H R. H. Hardin, <a href="/A254390/b254390.txt">Table of n, a(n) for n = 1..283</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 13]

%F k=2: [order 33]

%F k=3: [order 50]

%F Empirical for row n:

%F n=1: [same linear recurrence of order 13]

%F n=2: [order 41] for n>42

%F n=3: [order 68] for n>70

%e Some solutions for n=2 k=4

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

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

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

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

%Y Column 1 and row 1 are A253978

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 29 2015