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

%I #4 Dec 04 2013 07:53:49

%S 29,112,365,1079,2969,7697,19161,46225,108546,249922,566434,1265910,

%T 2799170,6135198,13338545,28815311,61913201,132347696,281740017,

%U 597597160,1263139459,2662173760,5596312274,11734716808,24553681879

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

%C Row 1 of A233117

%H R. H. Hardin, <a href="/A233118/b233118.txt">Table of n, a(n) for n = 1..190</a>

%e Some solutions for n=5

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 04 2013