%I #5 Mar 31 2012 12:36:58
%S 205,21635,2935262,443416660,66135356129,9455280188061,
%T 1324162075797758,188660753741911771,28090704419759326277
%N Number of (n+1)X(n+1) 0..4 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively
%C Diagonal of A203870
%e Some solutions for n=4
%e ..3..4..4..4..4....1..0..4..3..3....4..2..2..2..4....1..1..0..4..3
%e ..3..4..4..4..4....0..1..3..4..4....2..4..4..4..4....1..1..2..3..4
%e ..3..4..4..4..4....1..0..4..4..4....3..4..4..4..4....4..4..4..4..4
%e ..3..4..4..4..4....3..4..4..4..4....3..4..4..4..4....4..4..4..4..4
%e ..3..4..4..4..4....3..4..4..4..4....3..4..4..4..4....4..4..4..4..4
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 07 2012