A203868 - OEIS

%I #9 Oct 03 2025 10:47:21

%S 1322098,59962757,1959924899,43601076951,721851243868,9455280188061,

%T 102773744858440,955896356158916,7795605797284447,56686366577585168,

%U 372732873405007189,2239600836358560809,12409329923078206156

%N Number of (n+1)X7 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 Column 6 of A203870

%H R. H. Hardin, <a href="/A203868/b203868.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..4..3..3..3..3..3..3....0..0..0..3..2..1..3....0..2..2..4..4..4..4

%e ..3..4..4..4..4..4..4....0..0..2..2..3..4..3....0..2..3..4..4..4..4

%e ..4..4..4..4..4..4..4....1..2..1..3..4..3..4....4..2..3..4..4..4..4

%e ..4..4..4..4..4..4..4....1..2..3..4..3..4..4....2..4..4..4..4..4..4

%e ..4..4..4..4..4..4..4....3..2..4..3..4..4..4....3..4..4..4..4..4..4

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 07 2012