A200801
T(n,k) is the number of n X k 0..3 arrays with values 0..3 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.
Original entry on oeis.org
1, 2, 2, 5, 15, 5, 15, 178, 178, 15, 51, 2614, 9880, 2614, 51, 187, 40148, 583813, 583813, 40148, 187, 715, 622645, 34679839, 132636590, 34679839, 622645, 715, 2795, 9676364, 2060918000, 30147154218, 30147154218, 2060918000, 9676364, 2795
Offset: 1
Table starts:
.....1...........2.................5......................15
.....2..........15...............178....................2614
.....5.........178..............9880..................583813
....15........2614............583813...............132636590
....51.......40148..........34679839.............30147154218
...187......622645........2060918000...........6852264918471
...715.....9676364......122478253815........1557479347400065
..2795...150442627.....7278777317468......354005859128023982
.11051..2339207390...432571571252989....80463441477635545163
.43947.36372631268.25707362563355693.18288865135614195620421
...
Some solutions for n=5 and k=3:
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..1..0....0..1..0....0..1..0....0..1..0....0..1..0....0..1..0....0..1..0
..2..0..0....0..1..1....0..0..2....2..2..0....2..2..0....2..2..0....2..1..2
..2..3..3....1..0..2....3..1..0....1..1..1....3..2..2....0..0..1....0..1..3
..2..2..0....3..2..1....3..3..0....2..2..1....3..1..3....1..1..1....1..1..2
A198522
Number of n X 2 0..4 arrays with values 0..4 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.
Original entry on oeis.org
2, 15, 193, 3660, 81844, 1948672, 47436498, 1163606279, 28617909415, 704465305625, 17346617064022, 427184684002131, 10520398796919219, 259092051772297458, 6380839372392481249, 157145577058895542027
Offset: 1
Some solutions for n=4
..0..0....0..1....0..0....0..1....0..1....0..1....0..1....0..0....0..1....0..0
..0..1....2..0....1..0....2..3....2..0....2..0....0..2....0..1....2..3....1..2
..2..3....2..2....2..3....4..2....1..0....0..2....1..3....1..0....1..2....1..3
..2..2....3..1....0..1....0..3....2..1....2..3....0..0....0..0....1..0....1..2
A198523
Number of nX3 0..4 arrays with values 0..4 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.
Original entry on oeis.org
5, 193, 16714, 1877316, 222590953, 26670041125, 3201911378187, 384557171168810, 46189600128813487, 5547962760669962158, 666383179391895903794, 80041410904141273707361, 9614030302463648373863365
Offset: 1
Some solutions for n=4
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..1....0..0..0....0..0..1
..1..2..1....1..2..0....0..1..2....1..2..3....0..1..2....1..2..1....0..0..2
..3..0..0....3..2..4....2..1..3....4..0..2....2..0..2....3..0..3....3..1..1
..1..4..0....3..0..3....2..3..0....0..2..3....2..1..3....1..4..0....2..1..1
A198524
Number of nX4 0..4 arrays with values 0..4 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.
Original entry on oeis.org
15, 3660, 1877316, 1084539825, 634586561196, 371815743708461, 217885196778717007, 127683385189755792564, 74824145653256981522691, 43847942678019724723096730, 25695476991145191912238756667
Offset: 1
Some solutions for n=5
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..1..1..0....0..1..1..0....0..1..1..0....0..1..1..0....0..1..1..0
..0..0..0..0....0..0..0..0....1..0..0..0....2..0..0..0....1..0..0..0
..2..3..2..4....2..1..3..1....2..0..3..4....3..0..1..1....1..0..1..2
..1..0..4..1....0..0..4..3....3..0..4..2....2..3..1..4....2..1..3..3
A198525
Number of nX5 0..4 arrays with values 0..4 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.
Original entry on oeis.org
52, 81844, 222590953, 634586561196, 1814002928583853, 5186266567454077293, 14827770532074166305565, 42393290191915767856385826, 121204405622972228787863169567, 346529082914494875185400399625818
Offset: 1
Some solutions for n=4
..0..0..1..2..3....0..1..2..2..0....0..1..0..2..2....0..1..1..2..3
..1..1..0..1..4....1..1..0..3..1....1..1..0..3..0....1..1..0..1..2
..0..0..1..2..2....0..0..1..0..3....0..0..1..0..2....0..0..1..0..4
..0..0..1..0..3....0..0..1..2..1....0..0..1..3..1....0..0..1..3..3
A198526
Number of nX6 0..4 arrays with values 0..4 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.
Original entry on oeis.org
202, 1948672, 26670041125, 371815743708461, 5186266567454077293, 72341858272434900016248, 1009078065869144136137180812, 14075371934477934686865356966591, 196333764385468923490801365319931630
Offset: 1
Some solutions for n=4
..0..0..0..1..2..0....0..0..0..1..1..1....0..0..0..1..0..1....0..0..0..1..0..2
..1..1..0..0..1..1....1..1..0..0..2..2....1..1..0..0..1..1....1..1..0..0..2..3
..0..0..1..0..1..0....0..0..1..0..2..1....0..0..1..0..2..2....0..0..1..0..4..1
..0..0..1..0..2..3....0..0..1..0..1..0....0..0..1..0..0..2....0..0..1..0..0..1
A198521
Number of n X n 0..4 arrays with values 0..4 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.
Original entry on oeis.org
1, 15, 16714, 1084539825, 1814002928583853, 72341858272434900016248
Offset: 1
Some solutions for n=4:
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..1..1..2....0..1..1..1....0..1..1..0....0..1..1..1....0..1..1..2
..2..1..3..0....2..1..3..4....2..1..3..0....2..1..0..2....3..0..0..3
..1..2..1..0....1..3..4..0....3..0..0..0....2..0..0..2....3..4..0..1
A198527
Number of nX7 0..4 arrays with values 0..4 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.
Original entry on oeis.org
855, 47436498, 3201911378187, 217885196778717007, 14827770532074166305565, 1009078065869144136137180812
Offset: 1
Some solutions for n=4
..0..0..0..1..0..0..2....0..0..0..1..0..2..3....0..0..0..1..0..2..2
..1..1..0..0..2..1..3....1..1..0..0..2..4..1....1..1..0..0..2..3..0
..0..0..1..0..2..3..0....0..0..1..0..2..2..1....0..0..1..0..2..1..1
..0..0..1..0..0..3..4....0..0..1..0..0..0..4....0..0..1..0..0..0..3
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