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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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: A132362 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

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Last modified January 19 20:03 EST 2022. Contains 350466 sequences. (Running on oeis4.)