|
%I #5 Mar 31 2012 12:37:01
%S 256,2400,2400,22500,51680,22500,162000,1077978,1077978,162000,
%T 1166400,15057392,47834122,15057392,1166400,7157160,209106648,
%U 1271789125,1271789125,209106648,7157160,43917129,2204400210,32895567670
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards
%C Table starts
%C .......256.........2400...........22500...........162000...........1166400
%C ......2400........51680.........1077978.........15057392.........209106648
%C .....22500......1077978........47834122.......1271789125.......32895567670
%C ....162000.....15057392......1271789125......59151473070.....2692305415538
%C ...1166400....209106648.....32895567670....2692305415538...211637634795580
%C ...7157160...2204400210....592113170884...78592862286558.10058642503775705
%C ..43917129..23201606946..10499120334579.2280158782254760
%C .242230104.200331995906.142632804549589
%H R. H. Hardin, <a href="/A204309/b204309.txt">Table of n, a(n) for n = 1..59</a>
%e Some solutions for n=4 k=3
%e ..1..0..0..0....0..3..1..1....1..3..2..3....0..0..0..1....3..3..1..3
%e ..0..3..1..3....2..0..2..2....1..0..0..1....2..0..3..3....0..1..2..3
%e ..1..0..1..3....1..2..3..2....1..3..2..3....0..1..0..1....3..3..2..2
%e ..1..3..3..1....2..1..2..2....2..3..1..3....2..1..3..3....0..2..2..3
%e ..1..0..1..3....1..3..2..3....1..3..2..3....1..0..3..2....3..3..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 14 2012
| 