A268115 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 west neighbors modulo n and the upper left element equal to 0.

1, 1, 1, 1, 3, 1, 1, 10, 2, 1, 1, 35, 8, 2, 1, 1, 126, 30, 5, 2, 1, 1, 462, 114, 25, 5, 2, 1, 1, 1716, 414, 182, 15, 5, 2, 1, 1, 6435, 1561, 1256, 111, 15, 5, 2, 1, 1, 24310, 6227, 7396, 1687, 67, 15, 5, 2, 1, 1, 92378, 25712, 39891, 23522, 761, 67, 15, 5, 2, 1, 1, 352716

Offset

1,5

Comments

Table starts

.1.1..1..1...1....1.....1......1........1..........1............1.............1

.1.3.10.35.126..462..1716...6435....24310......92378.......352716.......1352078

.1.2..8.30.114..414..1561...6227....25712.....107071.......445688.......1860037

.1.2..5.25.182.1256..7396..39891...210384....1168317......7080023......45942141

.1.2..5.15.111.1687.23522.253472..2290853...18470974....140294987....1065068657

.1.2..5.15..67..761.24745.726627.15303976..251565608...3466082679...42227611356

.1.2..5.15..67..457..9204.586844.36708187.1582675968..49970797654.1250823466190

.1.2..5.15..67..457..5628.194567.22971957.3039274773.276165720476

.1.2..5.15..67..457..5628.119908..7088277

.1.2..5.15..67..457..5628.119908

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Example

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

Crossrefs

Row 2 is A001700(n-1).

Row 3 is A266319.

Sequence in context: A158695 A267392 A267553 * A106268 A267655 A263864

Adjacent sequences: A268112 A268113 A268114 * A268116 A268117 A268118

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 26 2016

Status

approved