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A204339 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) nondecreasing in column and row directions, respectively 9

%I

%S 1212,22294,22294,296860,947240,296860,3478214,28167739,28167739,

%T 3478214,35861109,618981328,1641649698,618981328,35861109,338578395,

%U 11129487382,68380482851,68380482851,11129487382,338578395,2968107693,167047130892

%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) nondecreasing in column and row directions, respectively

%C Table starts

%C ........1212..........22294............296860............3478214

%C .......22294.........947240..........28167739..........618981328

%C ......296860.......28167739........1641649698........68380482851

%C .....3478214......618981328.......68380482851......4891607353910

%C ....35861109....11129487382.....2112336887047....250869977097844

%C ...338578395...167047130892....52148478516988...9654523816277542

%C ..2968107693..2182013404785..1056518851863222.294839891112676990

%C .24512819961.25223785164840.18214385897286379

%H R. H. Hardin, <a href="/A204339/b204339.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=4 k=3

%e ..6..2..5..7....3..6..2..7....5..3..1..7....4..2..3..0....0..3..5..6

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 14 2012

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Last modified January 23 03:15 EST 2022. Contains 350504 sequences. (Running on oeis4.)