A267338 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north, west or southwest neighbors modulo n and the upper left element equal to 0.

1, 1, 1, 1, 3, 1, 1, 10, 1, 1, 1, 35, 5, 1, 1, 1, 126, 11, 2, 1, 1, 1, 462, 24, 12, 2, 1, 1, 1, 1716, 77, 45, 2, 2, 1, 1, 1, 6435, 222, 135, 36, 2, 2, 1, 1, 1, 24310, 700, 388, 264, 4, 2, 2, 1, 1, 1, 92378, 2297, 1220, 1223, 135, 4, 2, 2, 1, 1, 1, 352716, 6869, 5401, 4462, 2192, 9, 4, 2, 2

Offset

1,5

Comments

Table starts

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

.1.3.10.35.126.462.1716..6435..24310....92378....352716....1352078...5200300

.1.1..5.11..24..77..222...700...2297.....6869.....21609......71873....232180

.1.1..2.12..45.135..388..1220...5401....27146....125333.....515897...2010472

.1.1..2..2..36.264.1223..4462..14328....55017....305712....2436601..19006535

.1.1..2..2...4.135.2192.18140..96291...401459...1594603....7089502..45031108

.1.1..2..2...4...9..649.25661.413155..3534075..21319105..108404456.526041190

.1.1..2..2...4...9...24..4277.418273.14116549.214106961.2025457429

.1.1..2..2...4...9...24....89..39472..9498724.711260225

.1.1..2..2...4...9...24....89....594...505780

Links

R. H. Hardin, Table of n, a(n) for n = 1..197

Example

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

Crossrefs

Row 2 is A001700(n-1).

Row 3 is A266905.

Sequence in context: A267264 A267197 A267401 * A158695 A267392 A267553

Adjacent sequences: A267335 A267336 A267337 * A267339 A267340 A267341

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 13 2016

Status

approved