A266456 -id:A266456 - cp's OEIS frontend

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

R. H. Hardin, Jan 20 2016

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

			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

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

Diagonal is A267624.
Column 2 is A024206(n+1).
Row 2 is A001700(n-1).
Row 3 is A266456.

cp's OEIS Frontend

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.

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