A232849 - OEIS

A232849

Number of (n+1)X(1+1) 0..2 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing

%I #5 Dec 01 2013 05:43:05

%S 29,112,356,960,2307,5078,10265,19632,35694,62317,104971,170736,

%T 269815,415810,625923,923930,1339958,1911980,2686162,3721083,5089904,

%U 6879942,9196707,12169730,15946892,20711810,26672412,34082534,43239305,54478386

%N Number of (n+1)X(1+1) 0..2 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing

%C Column 1 of A232852

%H R. H. Hardin, <a href="/A232849/b232849.txt">Table of n, a(n) for n = 1..76</a>

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 01 2013