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A203661 T(n,k)=Number of (n+1)X(k+1) 0..7 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 5

%I #5 Mar 31 2012 12:36:57

%S 1212,27966,27966,557544,4859580,557544,9592248,729677481,729677481,

%T 9592248,146861704,85151157995,949250483640,85151157995,146861704,

%U 2050339423,8115230716866,931767180207600,931767180207600,8115230716866

%N T(n,k)=Number of (n+1)X(k+1) 0..7 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 Table starts

%C .........1212.............27966................557544.................9592248

%C ........27966...........4859580.............729677481.............85151157995

%C .......557544.........729677481..........949250483640.........931767180207600

%C ......9592248.......85151157995.......931767180207600.....7676075878291358313

%C ....146861704.....8115230716866....726872783930414289.49640621147968317363235

%C ...2050339423...656137171037648.471365844803377449537

%C ..26569429480.46216860954254233

%C .323824032048

%H R. H. Hardin, <a href="/A203661/b203661.txt">Table of n, a(n) for n = 1..39</a>

%e Some solutions for n=5 k=3

%e ..5..2..7..3....0..0..3..0....3..0..5..3....4..4..7..2....3..6..2..5

%e ..0..7..3..7....2..4..4..7....0..6..4..6....4..5..2..7....6..3..7..4

%e ..1..7..7..3....4..3..7..4....1..5..5..5....5..4..7..3....2..7..4..7

%e ..7..2..0..7....4..4..0..5....3..3..7..6....2..7..4..6....2..7..4..7

%e ..3..6..4..4....5..4..1..7....6..2..6..5....7..3..6..2....2..7..4..7

%e ..2..7..3..5....2..7..3..0....5..5..2..2....4..6..3..5....2..7..4..7

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 04 2012

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Last modified March 28 16:58 EDT 2024. Contains 371254 sequences. (Running on oeis4.)