A195243
Number of lower triangles of an n X n 0..3 array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.
Original entry on oeis.org
4, 46, 1682, 190514, 67379894, 74236765958, 254948725307650, 2728873272983950594, 91038149737139587502854, 9466106148769015848820814134, 3067809430979519600024270636572850
Offset: 1
Some solutions for n=5
..1..........2..........1..........3..........0..........1..........0
..0.2........2.1........0.2........1.1........2.1........1.3........2.1
..2.0.2......2.0.0......2.1.3......1.1.2......0.2.2......3.3.1......0.2.2
..0.0.1.3....2.1.1.2....0.2.1.3....3.2.1.1....2.1.1.0....3.1.1.3....2.1.1.0
..0.1.2.3.3..1.2.2.1.0..2.1.3.3.3..2.1.2.2.3..1.0.0.1.2..2.3.2.2.1..1.0.0.1.2
A195244
Number of lower triangles of an n X n 0..4 array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.
Original entry on oeis.org
5, 65, 2729, 357847, 147824001, 192172956591, 786909681200387, 10151817642632605643, 412697709382902984293947, 52873327059079066189496492173, 21349480944940442832764307444766199
Offset: 1
Some solutions for n=5
..0..........4..........3..........0..........3..........4..........4
..2.0........3.3........1.3........2.2........2.3........4.2........4.4
..2.0.1......2.2.2......1.2.2......4.3.1......4.2.3......4.2.0......2.4.4
..0.2.0.2....0.2.0.1....1.1.2.4....4.3.2.3....2.3.3.3....4.2.0.0....3.3.3.3
..0.1.2.2.1..0.2.2.1.1..1.3.3.4.3..3.3.2.3.2..4.3.1.2.4..3.2.1.2.0..1.3.1.2.1
A195245
Number of lower triangles of an n X n 0..5 array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.
Original entry on oeis.org
6, 84, 3776, 533142, 237368212, 333437946202, 1479091549959182, 20728220266936919766, 918037571811526229736636, 128523191925989407344147529338, 56883358880979630186940014533369490
Offset: 1
Some solutions for n=5
..4..........2..........2..........1..........1..........3..........4
..2.4........2.4........1.2........3.1........2.3........2.2........3.4
..2.3.5......3.3.3......3.2.0......3.2.2......3.3.4......2.3.2......3.4.2
..4.4.5.4....2.2.3.4....4.2.0.2....3.4.3.2....5.3.4.4....1.1.3.4....4.4.3.2
..4.5.3.5.3..4.4.2.2.3..2.2.1.0.1..4.3.2.4.4..5.4.5.3.2..2.2.2.4.3..5.4.2.3.3
A195249
Number of lower triangles of a 3 X 3 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.
Original entry on oeis.org
64, 729, 1682, 2729, 3776, 4823, 5870, 6917, 7964, 9011, 10058, 11105, 12152, 13199, 14246, 15293, 16340, 17387, 18434, 19481, 20528, 21575, 22622, 23669, 24716, 25763, 26810, 27857, 28904, 29951, 30998, 32045, 33092, 34139, 35186, 36233, 37280, 38327
Offset: 1
Some solutions for n=5:
..2......1......0......0......4......5......1......1......5......3
..3.4....2.3....2.0....0.2....5.4....3.5....1.3....2.3....3.3....2.2
..4.4.4..2.1.2..1.1.1..1.1.3..4.4.5..5.5.3..2.1.3..4.3.4..2.3.3..0.0.2
A195250
Number of lower triangles of a 4X4 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.
Original entry on oeis.org
1024, 59049, 190514, 357847, 533142, 709613, 886084, 1062555, 1239026, 1415497, 1591968, 1768439, 1944910, 2121381, 2297852, 2474323, 2650794, 2827265, 3003736, 3180207, 3356678, 3533149, 3709620, 3886091, 4062562, 4239033, 4415504, 4591975
Offset: 1
Some solutions for n=5
..2........5........3........0........5........1........2........3
..0.0......4.3......2.1......0.2......5.5......0.0......0.2......1.2
..1.2.1....4.3.1....0.2.2....0.1.3....5.5.3....0.2.1....1.1.1....2.0.2
..2.1.3.2..3.3.1.0..1.0.1.2..0.2.2.2..4.4.5.4..0.1.0.0..2.0.1.2..2.0.1.0
A195251
Number of lower triangles of a 5X5 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.
Original entry on oeis.org
32768, 14348907, 67379894, 147824001, 237368212, 329060365, 421064386, 513095495, 605126604, 697157713, 789188822, 881219931, 973251040, 1065282149, 1157313258, 1249344367, 1341375476, 1433406585, 1525437694, 1617468803
Offset: 1
Some solutions for n=5
..3..........5..........5..........4..........2..........0..........3
..3.5........5.3........3.3........2.2........3.3........1.2........2.1
..3.4.3......3.3.2......3.4.4......2.2.3......3.2.3......3.3.1......3.3.2
..5.4.3.4....5.3.2.0....4.2.3.4....4.2.1.2....2.4.2.4....4.3.2.2....3.1.3.1
..5.5.3.5.4..3.4.2.2.2..2.2.3.3.4..2.2.2.1.1..3.2.2.4.3..3.2.1.3.3..1.1.3.2.2
A195252
Number of lower triangles of a 6X6 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.
Original entry on oeis.org
2097152, 10460353203, 74236765958, 192172956591, 333437946202, 481573562101, 631149414120, 780949393809, 930772855532, 1080597742629, 1230422629726, 1380247516823, 1530072403920, 1679897291017, 1829722178114, 1979547065211
Offset: 1
Some solutions for n=5
..1............0............2............1............5............4
..1.3..........0.1..........1.3..........0.2..........4.3..........4.2
..2.2.2........1.2.0........3.3.5........0.1.0........2.4.2........3.4.3
..3.4.4.2......2.1.0.0......2.4.3.4......1.1.2.0......4.3.2.0......2.2.2.2
..2.3.2.3.4....0.0.1.1.1....2.2.2.2.3....0.2.0.0.2....5.4.2.2.2....0.1.0.0.1
..3.2.3.2.4.3..1.2.2.3.2.0..0.1.3.3.3.1..1.1.2.1.2.2..3.4.3.2.2.0..1.1.2.2.1.1
A195253
Number of lower triangles of a 7X7 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.
Original entry on oeis.org
268435456, 22876792454961, 254948725307650, 786909681200387, 1479091549959182, 2226347741716207, 2987571816007840, 3751562406061261, 4515974674903982, 5280435818615649, 6044900876514412, 6809366105107111
Offset: 1
Some solutions for n=5
..3..............2..............5..............0..............5
..4.5............3.4............4.3............2.0............3.3
..4.4.3..........5.4.5..........2.4.4..........0.2.0..........2.2.4
..2.3.2.4........5.5.4.4........3.3.2.4........2.2.2.0........1.2.3.2
..3.3.3.3.4......3.4.4.2.3......3.4.3.4.3......2.1.0.1.1......0.2.4.4.2
..3.3.1.2.4.4....2.4.3.2.2.1....3.4.5.3.2.2....0.1.2.1.1.2....0.2.3.3.4.4
..3.2.2.3.4.5.4..2.2.2.2.3.1.1..3.3.3.3.2.1.1..1.2.3.2.0.1.0..2.2.1.3.3.5.3
A195246
Number of lower triangles of an n X n 0..6 array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.
Original entry on oeis.org
7, 103, 4823, 709613, 329060365, 481573562101, 2226347741716207, 32533092875899015419, 1503300467938958707014579, 219724247440207348239797551059, 101603289677502667519178169906161081
Offset: 1
Some solutions for n=5
..2..........0..........4..........4..........2..........4..........1
..4.4........2.2........3.5........4.6........1.3........3.2........0.1
..5.6.4......4.4.3......4.5.4......5.6.6......1.3.2......4.3.1......0.2.1
..4.6.6.6....2.2.4.4....3.3.4.4....6.6.6.4....2.2.1.0....2.2.2.3....0.1.0.0
..4.6.5.5.6..4.4.3.4.3..3.2.3.4.2..5.4.5.6.6..0.2.0.1.2..0.1.1.3.1..1.2.2.0.1
A195247
Number of lower triangles of an n X n 0..7 array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by two or less.
Original entry on oeis.org
8, 122, 5870, 886084, 421064386, 631149414120, 2987571816007840, 44691981426014450274, 2113939963847059814381026, 316271939439306387096992492956, 149706956331711946010383809151524932
Offset: 1
Some solutions for n=5
..0..........1..........6..........0..........7..........4..........4
..1.2........3.3........5.5........0.2........5.6........4.6........6.6
..2.1.1......2.1.3......6.6.7......1.1.2......4.6.7......5.5.4......5.4.5
..0.0.2.2....3.3.3.4....7.7.7.6....2.0.1.0....5.5.7.5....7.6.6.4....4.4.3.4
..0.1.0.1.1..2.3.3.2.2..7.7.7.6.4..1.0.2.0.2..4.5.7.7.5..6.6.5.4.3..4.3.2.3.2
Showing 1-10 of 10 results.
Comments