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A203714 T(n,k)=Number of (n+1)X(k+1) 0..5 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

%S 406,5411,5411,64568,367895,64568,680400,23213355,23213355,680400,

%T 6489940,1162808408,9336835297,1162808408,6489940,57269565,

%U 48020026044,2904393889106,2904393889106,48020026044,57269565,475164554

%N T(n,k)=Number of (n+1)X(k+1) 0..5 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 ........406...........5411..............64568..............680400

%C .......5411.........367895...........23213355..........1162808408

%C ......64568.......23213355.........9336835297.......2904393889106

%C .....680400.....1162808408......2904393889106....5669049948955178

%C ....6489940....48020026044....721542795363654.8737138311717893143

%C ...57269565..1693919110707.149182735653334500

%C ..475164554.52384282627294

%C .3751457500

%H R. H. Hardin, <a href="/A203714/b203714.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 04 2012

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Last modified August 14 03:14 EDT 2022. Contains 356109 sequences. (Running on oeis4.)