A214541
Number of 3X3X3 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.
Original entry on oeis.org
2, 15, 38, 79, 152, 263, 418, 643, 942, 1329, 1832, 2463, 3234, 4185, 5326, 6677, 8280, 10153, 12314, 14817, 17678, 20923, 24608, 28757, 33394, 38587, 44358, 50739, 57800, 65571, 74082, 83415, 93598, 104669, 116712, 129763, 143858, 159093, 175502
Offset: 1
Some solutions for n=4
....3......2......3......2......3......3......1......0......2......2......1
...2.4....3.1....4.2....3.1....3.3....3.3....1.1....0.0....3.1....2.2....0.2
..4.1.4..3.3.0..4.1.4..2.4.0..3.2.4..3.3.3..1.1.1..0.0.0..3.1.2..1.3.2..0.1.2
A214542
Number of 4X4X4 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.
Original entry on oeis.org
2, 93, 344, 1181, 3198, 7801, 16752, 33605, 62766, 111653, 189264, 309453, 488806, 751289, 1124676, 1647473, 2364174, 3333765, 4623132, 6319045, 8519174, 11346717, 14938900, 19465789, 25115826, 32118473, 40725436, 51239465, 63991794, 79374993
Offset: 1
Some solutions for n=4
.....3........3........2........1........2........2........2........1
....2.4......3.3......3.1......2.0......2.2......2.2......1.3......2.0
...2.4.3....2.3.4....3.2.1....1.2.0....2.2.2....1.4.1....1.4.1....2.1.0
..3.2.4.3..2.3.3.4..0.3.1.4..0.2.2.0..1.2.3.2..1.4.1.2..1.4.2.1..3.1.0.0
A214543
Number of 5 X 5 X 5 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.
Original entry on oeis.org
2, 1007, 5360, 35567, 155102, 562559, 1786114, 4984385, 12779966, 30245569, 67041880, 140742983, 281169008, 538998923, 995176292, 1777352885, 3082346868, 5202996925, 8574228434, 13820760479, 21832252746, 33858093487, 51616202234
Offset: 1
Some solutions for n=4
......2..........2..........2..........2..........2..........2..........3
.....2.2........2.2........3.1........1.3........2.2........1.3........3.3
....2.2.2......2.2.2......2.3.1......1.2.3......4.2.0......1.3.2......3.3.3
...2.1.2.3....3.0.2.3....0.3.4.1....1.2.2.3....4.2.0.2....1.3.1.3....4.1.3.4
..0.3.1.3.3..1.4.0.4.1..1.0.4.1.4..0.2.2.4.2..4.3.1.0.2..1.2.4.0.3..4.4.1.4.2
A214534
Number of nXnXn triangular 0..2 arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.
Original entry on oeis.org
3, 5, 15, 93, 1007, 17213, 461465, 19166997, 1246538209, 126946385993, 20342860627393, 5148359000639457
Offset: 1
Some solutions for n=4
.....1........1........1........1........1........1........1........1
....1.1......2.0......2.0......0.2......1.1......0.2......0.2......1.1
...2.0.1....2.0.1....1.2.0....0.2.1....2.0.1....1.0.2....1.0.2....2.0.1
..1.2.0.1..1.2.0.1..1.2.0.1..0.2.1.1..0.2.0.2..0.2.0.2..1.0.1.2..2.0.1.1
A214535
Number of nXnXn triangular 0..3 arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.
Original entry on oeis.org
4, 8, 38, 344, 5360, 141470, 6042900, 420213820, 47817344852, 8897304579262
Offset: 1
Some solutions for n=4
.....2........1........1........2........2........1........1........2
....2.2......1.1......1.1......1.3......2.2......1.1......0.2......2.2
...1.3.2....1.2.0....1.1.1....2.1.3....1.3.2....2.1.0....1.0.2....1.2.3
..3.0.3.2..1.2.1.0..2.1.1.0..3.0.2.3..0.3.3.2..0.3.0.1..2.0.0.2..2.0.3.3
A214536
Number of nXnXn triangular 0..4 arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.
Original entry on oeis.org
5, 13, 79, 1181, 35567, 2280331, 292689331, 75286406603, 37837349841125
Offset: 1
Some solutions for n=4
.....2........1........2........2........2........2........1........3
....3.1......1.1......3.1......2.2......0.4......2.2......1.1......4.2
...4.1.1....2.1.0....4.2.0....2.1.3....0.4.2....2.4.0....0.3.0....4.3.2
..1.4.0.3..2.2.0.0..2.4.0.2..3.1.0.4..2.0.4.2..1.4.3.0..0.3.0.1..4.3.3.2
A214537
Number of nXnXn triangular 0..5 arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.
Original entry on oeis.org
6, 18, 152, 3198, 155102, 15986168, 3442622120, 1522001775744
Offset: 1
Some solutions for n=4
.....1........2........2........2........2........2........2........2
....1.1......2.2......2.2......2.2......1.3......1.3......2.2......1.3
...2.0.1....2.1.3....2.2.2....1.2.3....1.4.1....3.0.3....4.2.0....1.0.5
..2.1.0.1..2.1.4.1..0.2.4.2..0.3.1.4..0.4.4.0..3.0.1.4..5.1.2.0..2.1.0.5
A214538
Number of nXnXn triangular 0..6 arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.
Original entry on oeis.org
7, 25, 263, 7801, 562559, 98726075, 39956910039
Offset: 1
Some solutions for n=4
.....2........3........2........3........3........2........4........3
....2.2......4.2......3.1......4.2......4.2......1.3......2.6......6.0
...4.2.0....3.4.2....2.3.1....4.3.2....5.2.2....1.5.0....6.0.6....3.6.0
..6.2.0.0..0.4.2.6..4.0.4.0..4.3.2.3..1.5.1.5..0.3.5.0..6.0.4.6..3.3.6.0
A214539
Number of nXnXn triangular 0..7 arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.
Original entry on oeis.org
8, 32, 418, 16752, 1786114, 481650122, 323258584792
Offset: 1
Some solutions for n=4
.....4........3........3........3........2........4........5........3
....6.2......5.1......2.4......3.3......3.1......3.5......5.5......1.5
...3.7.2....5.1.3....3.0.6....5.3.1....3.0.3....5.2.5....4.5.6....1.3.5
..1.6.7.2..7.1.1.3..4.1.0.7..1.7.1.3..4.0.1.3..5.3.2.6..7.3.6.4..0.4.2.6
A214544
Number of 6X6X6 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.
Original entry on oeis.org
2, 17213, 141470, 2280331, 15986168, 98726075, 481650122, 2044254981, 7567047596, 25388753287, 77613247698, 220319905339, 584578487982
Offset: 1
Some solutions for n=2
.......1............1............1............1............1............1
......0.2..........1.1..........1.1..........1.1..........0.2..........2.0
.....0.2.1........1.1.1........2.0.1........2.0.1........1.0.2........1.2.0
....1.0.2.1......1.0.2.1......2.0.1.1......0.2.0.2......1.0.1.2......1.2.1.0
...1.1.0.2.1....1.0.1.2.1....1.2.0.2.0....0.2.0.1.2....1.1.0.1.2....1.2.1.0.1
..2.1.0.1.2.0..1.0.0.2.2.1..1.2.0.1.2.0..2.0.2.0.2.0..0.2.0.1.2.1..2.1.2.0.1.0
Showing 1-10 of 11 results.
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