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A203740 Number of (n+1)X8 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) nondecreasing in column and row directions, respectively 1

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

%S 376415,6571172,97540896,1082255416,9804436984,75830205850,

%T 513715285322,3103520015542,16936581403955,84415771253041,

%U 387615558312293,1652082146430819,6577778705127778,24604778261792972,86902770999219840

%N Number of (n+1)X8 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) nondecreasing in column and row directions, respectively

%C Column 7 of A203741

%H R. H. Hardin, <a href="/A203740/b203740.txt">Table of n, a(n) for n = 1..136</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2012

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Last modified April 22 12:40 EDT 2024. Contains 371900 sequences. (Running on oeis4.)