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A203867 Number of (n+1)X6 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 1

%I

%S 280509,10500903,269967062,4868641840,66135356129,721851243868,

%T 6583402402582,51842308069669,360087670399010,2246509788513939,

%U 12752564863065714,66609985398909168,322906800607902925

%N Number of (n+1)X6 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 5 of A203870

%H R. H. Hardin, <a href="/A203867/b203867.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 07 2012

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Last modified October 26 14:28 EDT 2021. Contains 348267 sequences. (Running on oeis4.)