A267751 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 neighbor modulo n and the upper left element equal to 0.

1, 1, 1, 1, 3, 1, 1, 10, 5, 1, 1, 35, 39, 8, 1, 1, 126, 357, 118, 11, 1, 1, 462, 3471, 2386, 313, 15, 1, 1, 1716, 35003, 54956, 13451, 780, 19, 1, 1, 6435, 362265, 1350674, 679735, 68151, 1789, 24, 1, 1, 24310, 3821877, 34568612, 37668275, 7280046, 314491, 4024

Offset

1,5

Comments

Table starts

.1..1....1.......1........1.........1............1............1...........1

.1..3...10......35......126.......462.........1716.........6435.......24310

.1..5...39.....357.....3471.....35003.......362265......3821877....40918431

.1..8..118....2386....54956...1350674.....34568612....910791802.24537293344

.1.11..313...13451...679735..37668275...2218059985.136270559675

.1.15..780...68151..7280046.873319806.113187903900

.1.19.1789..314491.69784981

.1.24.4024.1381976

.1.29.8793

.1.35

Links

R. H. Hardin, Table of n, a(n) for n = 1..72

Example

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

Crossrefs

Diagonal is A267624.

Column 2 is A024206(n+1).

Row 2 is A001700(n-1).

Row 3 is A266456.

Sequence in context: A267655 A263864 A060543 * A185996 A261215 A176157

Adjacent sequences: A267748 A267749 A267750 * A267752 A267753 A267754

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 20 2016

Status

approved