A204699 -id:A204699 - cp's OEIS frontend

A206650 T(n,k)=Number of nXk 0..2 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..2 introduced in row major order.

1, 2, 2, 4, 14, 4, 11, 96, 96, 11, 30, 726, 1625, 726, 30, 82, 5400, 30145, 30145, 5400, 82, 224, 40344, 545520, 1414023, 545520, 40344, 224, 612, 301056, 9937823, 64166392, 64166392, 9937823, 301056, 612, 1672, 2247264, 180716227, 2937839117

Offset: 1

R. H. Hardin Feb 11 2012

Table starts
...1.......2..........4............11................30...................82
...2......14.........96...........726..............5400................40344
...4......96.......1625.........30145............545520..............9937823
..11.....726......30145.......1414023..........64166392...........2937839117
..30....5400.....545520......64166392........7241587334.........826407481102
..82...40344....9937823....2937839117......826407481102......235596375117548
.224..301056..180716227..134185561617....94026798615720....66923081500826797
.612.2247264.3287842038.6132878568838.10706810410657410.19028556027562892700

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

R. H. Hardin, Table of n, a(n) for n = 1..112

Column 1 is A021006(n-3)

Column 2 is A204699

A204978 T(n,k)=Number of nXk 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

Original entry on oeis.org

1, 2, 2, 4, 14, 4, 11, 96, 96, 11, 30, 726, 1217, 726, 30, 82, 5400, 16813, 16813, 5400, 82, 224, 40344, 226908, 451468, 226908, 40344, 224, 612, 301056, 3074889, 11815256, 11815256, 3074889, 301056, 612, 1672, 2247264, 41618941, 311275169, 594430765

Offset: 1

R. H. Hardin Jan 21 2012

Table starts
...1.......2.........4...........11.............30..............82
...2......14........96..........726...........5400...........40344
...4......96......1217........16813.........226908.........3074889
..11.....726.....16813.......451468.......11815256.......311275169
..30....5400....226908.....11815256......594430765.....30057359681
..82...40344...3074889....311275169....30057359681...2924321664147
.224..301056..41618941...8202482914..1519010368414.284567725886961
.612.2247264.563504926.216132492162.76757855124562

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

R. H. Hardin, Table of n, a(n) for n = 1..84

Column 1 is A021006(n-3)

Column 2 is A204699

cp's OEIS Frontend

A206650 T(n,k)=Number of nXk 0..2 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..2 introduced in row major order.

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