A203779 - OEIS

A203779

Number of (n+1)X(n+1) 0..3 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) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing

%I #5 Mar 31 2012 12:36:58

%S 90,10109,13948153,215433191774,36832573887843946,

%T 71462394089059338306691

%N Number of (n+1)X(n+1) 0..3 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) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing

%C Diagonal of A203787

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2012