A203782 - OEIS

A203782

Number of (n+1)X4 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 3352,187118,13948153,855879499,42858325343,1799006388496,

%T 65121080193243,2076963297883071,59331537408924495,

%U 1537581479584700034,36518764447234430367,801560882444435648518,16372310993025152525853

%N Number of (n+1)X4 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 Column 3 of A203787

%H R. H. Hardin, <a href="/A203782/b203782.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2012