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A267990 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with row sums and column sums nondecreasing. 5
1, 1, 1, 1, 4, 1, 1, 5, 21, 1, 1, 15, 145, 189, 1, 1, 21, 1122, 7477, 1941, 1, 1, 57, 7886, 425488, 760736, 28032, 1, 1, 85, 58446, 20924732, 399858087, 122958209, 448157, 1, 1, 220, 405196, 1102544770 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1......1.........1.........1........1..........1......1...1.1

.1......4.........5........15.......21.........57.....85.220

.1.....21.......145......1122.....7886......58446.405196

.1....189......7477....425488.20924732.1102544770

.1...1941....760736.399858087

.1..28032.122958209

.1.448157

.1

LINKS

Table of n, a(n) for n=1..40.

EXAMPLE

Some solutions for n=3 k=4

..0..0..2..1....1..0..2..0....0..0..0..2....0..0..1..1....0..1..0..2

..1..0..2..1....0..1..1..2....1..1..2..0....0..1..0..2....2..1..1..0

..1..2..0..2....1..2..0..2....1..2..1..2....2..1..2..2....0..1..2..2

CROSSREFS

Sequence in context: A131239 A114033 A209417 * A084061 A140262 A049702

Adjacent sequences:  A267987 A267988 A267989 * A267991 A267992 A267993

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 23 2016

STATUS

approved

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Last modified November 18 22:50 EST 2019. Contains 329305 sequences. (Running on oeis4.)