A267392 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 northeast neighbors modulo n and the upper left element equal to 0.

1, 1, 1, 1, 3, 1, 1, 10, 2, 1, 1, 35, 5, 2, 1, 1, 126, 12, 5, 2, 1, 1, 462, 33, 12, 5, 2, 1, 1, 1716, 97, 36, 12, 5, 2, 1, 1, 6435, 278, 127, 36, 12, 5, 2, 1, 1, 24310, 821, 491, 135, 36, 12, 5, 2, 1, 1, 92378, 2504, 1975, 626, 135, 36, 12, 5, 2, 1, 1, 352716, 7766, 7870, 3458, 649, 135

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

.1.2..5.12..33..97..278..821..2504...7766...24609.....79116.....256012

.1.2..5.12..36.127..491.1975..7870..31298..124276....500855....2061014

.1.2..5.12..36.135..626.3458.20470.120191..684920...3792099...20520497

.1.2..5.12..36.135..649.4189.33828.296985.2634316..22670355..186406508

.1.2..5.12..36.135..649.4277.38879.451730.5950744..80445962.1059841613

.1.2..5.12..36.135..649.4277.39472.501695.8410362.165102597

.1.2..5.12..36.135..649.4277.39472.505780.9072793

.1.2..5.12..36.135..649.4277.39472.505780

Links

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

Example

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

Crossrefs

Diagonal is A267337.

Row 2 is A001700(n-1).

Row 3 is A266292.

Sequence in context: A267401 A267338 A158695 * A267553 A268115 A106268

Adjacent sequences: A267389 A267390 A267391 * A267393 A267394 A267395

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 13 2016

Status

approved