A186629 - OEIS

%I #8 Jan 27 2013 02:22:20

%S 262144,9576448,9576448,349839616,876951552,349839616,12780078472,

%T 80485522400,80485522400,12780078472,351107784608,7188107084815,

%U 18496850510312,7188107084815,351107784608,9646003088512,422905697694540

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with 3X3 subblock sums nondecreasing rightwards and downwards.

%C Table starts

%C ........262144.........9576448........349839616......12780078472

%C .......9576448.......876951552......80485522400....7188107084815

%C .....349839616.....80485522400...18496850510312.3990816642970118

%C ...12780078472...7188107084815.3990816642970118

%C ..351107784608.422905697694540

%C .9646003088512

%H R. H. Hardin, <a href="/A186629/b186629.txt">Table of n, a(n) for n = 1..24</a>

%e Some solutions for 5X4

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

%e ..0..0..2..0....2..0..0..3....0..0..0..0....0..0..2..2....0..0..0..0

%e ..0..0..3..2....0..0..1..0....0..0..3..0....2..2..3..0....0..3..1..2

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

%e ..3..3..0..2....3..0..1..3....2..1..1..3....0..3..2..3....1..1..2..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 24 2011