A267553 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 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, 6, 2, 1, 1, 126, 20, 5, 2, 1, 1, 462, 83, 15, 5, 2, 1, 1, 1716, 410, 61, 14, 5, 2, 1, 1, 6435, 2109, 350, 55, 14, 5, 2, 1, 1, 24310, 11097, 2437, 287, 54, 14, 5, 2, 1, 1, 92378, 59698, 18530, 2165, 279, 54, 14, 5, 2, 1, 1, 352716, 325240

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..6.20..83.410.2109.11097..59698..325240...1786820....9888567....55061514

.1.2..5.15..61.350.2437.18530.145263.1156222...9288411...75111303...610606621

.1.2..5.14..55.287.2165.21835.252726.3096256..38732624..488632335..6180876159

.1.2..5.14..54.279.2041.22189.326500.5621462.104501293.2016824167.39643063478

.1.2..5.14..54.278.2033.21781.345443.7589059.200130901.5749483969

.1.2..5.14..54.278.2032.21772.345853.8164233.271504873

.1.2..5.14..54.278.2032.21771.345843.8152191

.1.2..5.14..54.278.2032.21771.345842

Links

R. H. Hardin, Table of n, a(n) for n = 1..177

Example

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

Crossrefs

Row 2 is A001700(n-1).

Row 3 is A266600.

Sequence in context: A267338 A158695 A267392 * A268115 A106268 A267655

Adjacent sequences: A267550 A267551 A267552 * A267554 A267555 A267556

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 17 2016

Status

approved