A216462 -id:A216462 - cp's OEIS frontend

A216612 T(n,k)=Number of horizontal, diagonal and antidiagonal neighbor colorings of the odd squares of an nXk array with new integer colors introduced in row major order.

1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 5, 2, 2, 5, 15, 20, 15, 5, 2, 15, 41, 203, 67, 52, 5, 5, 52, 716, 3429, 4140, 1335, 203, 15, 5, 203, 2847, 83440, 83437, 115975, 6097, 877, 15, 15, 877, 83440, 2711768, 18171918, 20880505, 4213597, 192713, 4140, 52, 15, 4140

Offset: 1

R. H. Hardin Sep 10 2012

Table starts
...1......1.........1............1..............1................2
...1......1.........1............2..............5...............15
...1......2.........2...........15.............41..............716
...2......5........20..........203...........3429............83440
...2.....15........67.........4140..........83437.........18171918
...5.....52......1335.......115975.......20880505.......6423127757
...5....203......6097......4213597......942420901....3376465219485
..15....877....192713....190899322...484968748793.2486327138729353
..15...4140...1094076..10480142147.33862631596393
..52..21147..49055292.682076806159
..52.115975.329588907
.203.678570

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

R. H. Hardin, Table of n, a(n) for n = 1..96

Column 2 is A000110(n-1)
Column 4 is A020557(n-1)
Column 6 is A208051
Row 2 is A000110(n-2)
Row 4 is A216462
Row 6 is A216464
Even squares: A216460

cp's OEIS Frontend

A216612 T(n,k)=Number of horizontal, diagonal and antidiagonal neighbor colorings of the odd squares of an nXk array with new integer colors introduced in row major order.

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