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A203669 Number of (n+1)X6 0..6 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 12:36:57

%S 8749285,1447373824,150678768765,10106160753534,469214921553966,

%T 16249513382398064,438625288948634323,9625199918804866359,

%U 176543812149077636943,2775220642087352961325,38080738704427686340367

%N Number of (n+1)X6 0..6 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 A203672

%H R. H. Hardin, <a href="/A203669/b203669.txt">Table of n, a(n) for n = 1..28</a>

%e Some solutions for n=4

%e ..2..6..2..3..2..2....3..3..3..1..5..1....3..6..3..6..3..3....4..4..2..2..5..5

%e ..6..2..6..5..6..6....3..3..3..5..2..6....6..3..6..3..6..6....4..4..6..6..6..6

%e ..2..6..5..6..6..6....2..4..5..3..6..4....3..6..3..6..6..6....6..6..6..6..6..6

%e ..3..5..6..6..6..6....1..5..4..6..4..6....6..3..6..6..6..6....6..6..6..6..6..6

%e ..6..5..6..6..6..6....6..5..6..4..6..4....3..6..6..6..6..6....6..6..6..6..6..6

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 04 2012

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Last modified April 18 08:27 EDT 2024. Contains 371769 sequences. (Running on oeis4.)