A267197 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, southwest or northwest neighbors modulo n and the upper left element equal to 0.

1, 1, 1, 1, 3, 1, 1, 10, 1, 1, 1, 35, 2, 0, 1, 1, 126, 5, 0, 0, 1, 1, 462, 11, 1, 0, 0, 1, 1, 1716, 26, 5, 0, 0, 0, 1, 1, 6435, 46, 23, 1, 0, 0, 0, 1, 1, 24310, 121, 79, 6, 0, 0, 0, 0, 1, 1, 92378, 400, 178, 47, 1, 0, 0, 0, 0, 1, 1, 352716, 1109, 336, 300, 7, 0, 0, 0, 0, 0, 1, 1, 1352078

Offset

1,5

Comments

Table starts

.1.1..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..20058300

.1.1..2..5..11..26...46..121...400..1109...2924....7992...21954.....61748

.1.0..0..1...5..23...79..178...336...835...3128...14040...59621....222502

.1.0..0..0...1...6...47..300..1233..3337...7048...15214...43620....224133

.1.0..0..0...0...1....7...92..1152..9087..44525..149501..382787....893920

.1.0..0..0...0...0....1....8...166..3947..65391..641925.3883236..16199181

.1.0..0..0...0...0....0....1.....9...285..13378..457822.9242494.110862397

.1.0..0..0...0...0....0....0.....1....10....460...44030.3063056.130348644

.1.0..0..0...0...0....0....0.....0.....1.....11.....717..138210..19883831

Links

R. H. Hardin, Table of n, a(n) for n = 1..283

Example

Some solutions for n=6 k=7
..0..1..2..3..4..4..5....0..1..2..3..3..4..5....0..1..2..3..4..5..5
..0..1..2..3..4..5..5....0..1..2..3..4..4..5....0..1..2..3..4..5..0
..0..1..2..3..4..5..0....0..1..2..3..4..5..5....1..1..2..3..4..5..0
..1..1..2..3..4..5..0....0..1..2..3..4..5..0....1..2..2..3..4..5..0
..1..2..2..3..4..5..0....1..1..2..3..4..5..0....1..2..3..3..4..5..0
..1..2..3..3..4..5..0....1..2..2..3..4..5..0....1..2..3..4..4..5..0

Crossrefs

Row 2 is A001700(n-1).

Row 3 is A266879.

Sequence in context: A045912 A290554 A267264 * A267401 A267338 A158695

Adjacent sequences: A267194 A267195 A267196 * A267198 A267199 A267200

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 11 2016

Status

approved