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A235261 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise 3

%I

%S 256,2400,2400,22500,75744,22500,162000,2691067,2691067,162000,

%T 1166400,64470056,417967682,64470056,1166400,7157160,1538378437,

%U 41170730836,41170730836,1538378437,7157160,43917129,27988093692,3998547995093

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise

%C Table starts

%C .....256........2400...........22500..............162000..............1166400

%C ....2400.......75744.........2691067............64470056...........1538378437

%C ...22500.....2691067.......417967682.........41170730836........3998547995093

%C ..162000....64470056.....41170730836......16811907001604.....6760603592133043

%C .1166400..1538378437...3998547995093....6760603592133043.11272050100248562624

%C .7157160.27988093692.282203684810984.1943970843613005622

%H R. H. Hardin, <a href="/A235261/b235261.txt">Table of n, a(n) for n = 1..49</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 40]

%e Some solutions for n=2 k=4

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

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

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

%Y Column 1 is A204303

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 05 2014

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Last modified October 24 10:03 EDT 2021. Contains 348225 sequences. (Running on oeis4.)