A267990 T(n,k) = Number of n X k arrays containing k copies of 0..n-1 with row sums and column sums nondecreasing.

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

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: A114033 A334426 A209417 * A084061 A140262 A049702

Adjacent sequences: A267987 A267988 A267989 * A267991 A267992 A267993

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 23 2016

Status

approved