A222567 -id:A222567 - cp's OEIS frontend

A222587 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.

1, 1, 1, 1, 1, 1, 4, 5, 5, 4, 5, 18, 9, 18, 5, 14, 59, 112, 112, 59, 14, 17, 200, 426, 1087, 426, 200, 17, 70, 820, 4790, 11442, 11442, 4790, 820, 70, 89, 3014, 18007, 128213, 111951, 128213, 18007, 3014, 89, 326, 11364, 208768, 1471412, 3778560, 3778560, 1471412

Offset: 1

R. H. Hardin Feb 25 2013

Table starts
....1......1.........1...........4............5............14.............17
....1......1.........5..........18...........59...........200............820
....1......5.........9.........112..........426..........4790..........18007
....4.....18.......112........1087........11442........128213........1471412
....5.....59.......426.......11442.......111951.......3778560.......41768676
...14....200......4790......128213......3778560.....120603073.....4091063379
...17....820.....18007.....1471412.....41768676....4091063379...133111379646
...70...3014....208768....17068476...1506610325..143156705294.14368353140562
...89..11364....783389...198654710..17357088679.5118550268413
..326..42748...9222742..2328829654.636943229353
..413.164652..34725955.27335961632
.1630.627034.412489970

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

R. H. Hardin, Table of n, a(n) for n = 1..111

Column 1 is A222364

Column 2 is A222567

cp's OEIS Frontend

A222587 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.

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