A203944 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) nondecreasing in column and row directions, respectively.

406, 4471, 4471, 36672, 91396, 36672, 269254, 1350442, 1350442, 269254, 1769897, 15288484, 32094464, 15288484, 1769897, 10808414, 145455811, 568991365, 568991365, 145455811, 10808414, 62091544, 1186308022, 7806803388, 14543414270

Offset

1,1

Comments

Table starts

.......406........4471.........36672..........269254...........1769897

......4471.......91396.......1350442........15288484.........145455811

.....36672.....1350442......32094464.......568991365........7806803388

....269254....15288484.....568991365.....14543414270......280030480105

...1769897...145455811....7806803388....280030480105.....7208336070660

..10808414..1186308022...88637852693...4247443759982...142896138921828

..62091544..8607173216..853966571340..53282169761154..2276546728132975

.339988204.56414423998.7204888459175.567792128651642.30288223466970876

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

Some solutions for n=4, k=3
..0..0..3..5....5..4..4..4....5..3..4..5....1..4..0..4....4..5..5..5
..2..2..3..5....4..5..5..5....3..5..4..5....4..1..5..5....5..5..5..5
..2..2..3..5....4..5..5..5....5..4..5..4....0..5..5..5....5..5..5..5
..4..5..4..5....4..5..5..5....4..5..4..5....0..5..5..5....5..5..5..5
..5..4..5..4....4..5..5..5....5..4..5..5....1..5..5..5....5..5..5..5

Crossrefs

Sequence in context: A371900 A348185 A271746 * A203937 A203714 A203710

Adjacent sequences: A203941 A203942 A203943 * A203945 A203946 A203947

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 08 2012

Status

approved