A222373 -id:A222373 - cp's OEIS frontend

A222679 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order.

1, 1, 2, 1, 1, 5, 4, 5, 5, 15, 5, 10, 11, 18, 51, 14, 25, 58, 130, 63, 187, 17, 150, 142, 527, 670, 234, 715, 75, 359, 2398, 5374, 8276, 9587, 1163, 2795, 95, 2249, 6463, 58167, 69973, 133028, 51055, 4953, 11051, 411, 6511, 146947, 687222, 1999404, 3759625

Offset: 1

R. H. Hardin Feb 28 2013

Table starts
......1......1........1.........4..........5.........14.........17.........75
......2......1........5........10.........25........150........359.......2249
......5......5.......11........58........142.......2398.......6463.....146947
.....15.....18......130.......527.......5374......58167.....687222...11377192
.....51.....63......670......8276......69973....1999404...20997839.1097897602
....187....234.....9587....133028....3759625...96510910.3254033272
....715...1163....51055...2363628...65204276.5825299399
...2795...4953...832433..40206464.4282689196
..11051..24021..4403793.727306856
..43947.109395.76270010
.175275.536457
.700075

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

R. H. Hardin, Table of n, a(n) for n = 1..82

Column 1 is A007581(n-1)
Column 2 is A222373
Row 1 is A222372

cp's OEIS Frontend

A222679 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order.

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