A264373
Number of (n+1)X(2+1) arrays of permutations of 0..n*3+2 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.
Original entry on oeis.org
2, 1, 13, 25, 128, 347, 1343, 4172, 14711, 48187, 164644, 549209, 1857120, 6231551, 21001218, 70602740, 237686843, 799548823, 2690789595, 9053237740, 30464275277, 102504319825, 344916282634, 1160576447091, 3905173385325, 13140236820844
Offset: 1
Some solutions for n=4
..1..2..3....1..4..3....3..2..5....3..4..5....3..4..5....1..4..3....1..4..3
..0..7..6....0..7..8....0..1..6....0..1..6....0..1..8....0..7..6....0..5..6
..9..4..5....2.10..5....7..4..9....2..8..9....2.10..9....2..8..5....2.10..9
.12.13.14....6.13.12...12.13.14...12..7.14....6..7.12...12.13.14...12..7..8
..8.10.11....9.14.11....8.10.11...13.10.11...13.14.11....9.10.11...13.14.11
A264374
Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.
Original entry on oeis.org
4, 6, 80, 441, 3249, 22484, 156293, 1097881, 7657324, 53631087, 374971549, 2623479579, 18351250984, 128373536659, 898014323096, 6281872878413, 43943675806740, 307399346962192, 2150352679484064, 15042375439676549
Offset: 1
Some solutions for n=4
..4..2..6..5....4..2..6..5....1..2..4..7....1..2..3..5....1..5..6..7
..0..1.10..3....0..1..8.11....0..9.10..3....0..6..8..9....0..9..2..3
..9.13.11..7....9..3.12.13...12..5..6.13....4.10.11..7....4.10.11.13
..8.14.16.17...16..7.10.19....8.14.16.11...13.17.16.19....8.14.16.17
.12.18.19.15...17.18.14.15...17.18.19.15...12.18.14.15...12.18.19.15
A264375
Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.
Original entry on oeis.org
6, 9, 385, 3778, 63575, 828400, 11888603, 163298870, 2275569624, 31552306013, 437685392431, 6074696881202, 84245234781160, 1169032382776504, 16215316393763249, 224976383266144188, 3120908613452812544
Offset: 1
Some solutions for n=4
..5..2..3..6..9....5..2..3..4..7....1..2..3..8..7....5..6..7..8..9
..0..1.10.13..4....0..1.10.13.12....0.11.10.13..4....0..1.12.11..4
.11.12.15.16.17...15..6.17..8..9....5..6.15.14..9....2..3.13.16.17
..7..8.20.23.24...20.11.18.23.22...16.17.20.21.24...10.21.20.23.24
.21.22.14.18.19...21.16.14.24.19...12.22.23.18.19...15.22.14.18.19
A264376
Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.
Original entry on oeis.org
9, 61, 2345, 60858, 1742881, 48714516, 1363452981, 38221084820, 1068788896516, 29927513269705, 837176817328453, 23429857747772820, 655532815387819189, 18343277111401479326, 513247057017765586701, 14361187855657149397556
Offset: 1
Some solutions for n=4
..6..2..3..7..8.11....1..2..3..7.10..9....6..2..8..7.10..9....6..7..8..4.10..9
..0..1.12.10..4.15....0.13.12.15..4..5....0..1.12.13..4..5....0..1.14..3.16.15
.13.19.18..5.17.21....6.14.18.21.17.11...18..3.15.21.17.11....2.19.18..5.17.11
.24..9.14.27.16.29....8.20.24.22.26.27...24.25.26.22.16.27...12.13.24.27.28.29
.25.26.20.28.22.23...25.19.16.28.29.23...14.19.20.28.29.23...25.26.20.21.22.23
A264377
Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.
Original entry on oeis.org
15, 121, 14329, 711068, 45132986, 2546661201, 149731056598, 8620411258657, 499872831041401, 28871184063697655, 1669447411395132846, 96462826329498703173, 5574683427373667949652, 322122388885074528092794
Offset: 1
Some solutions for n=3
..7..2..3..4..5.12.11....7..2..3..8..5.12.13....7..2..9..8..5.10.13
..0..1.10.17.18.13..6....0..1.14.11..4.17.18....0..1.16..3..4.17.18
.21..8..9.22.23.24.27...15.22.21.10..6.24.27...15.22.21.24..6.12.27
.14.15.16.25.26.19.20....9.23.16.25.26.19.20...14.23.11.25.26.19.20
A264378
Number of (n+1)X(7+1) arrays of permutations of 0..n*8+7 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.
Original entry on oeis.org
25, 544, 88264, 9407584, 1187897216, 135926940964, 16353452350876, 1906883090233889, 225710195773223581, 26480802739477668891, 3118944367808136172136, 366509498887083495949171
Offset: 1
Some solutions for n=3
..8..9.10..4..5..6.12.13....8..2..3..9.10..6.14.13....8..2..3..4.10.11..7.15
..0..1..2..3.18.14.20.21....0..1.11.12..4..5.15..7....0..1.16.19.18..5.22.21
.24.25.26.11.28..7.30.31...24.25.26.20.28.27.30.31...17..9.24.20..6.27.28.29
.16.17.27.19.29.15.22.23...16.17.18.19.29.21.22.23...25.26.12.13.14.30.31.23
A264380
Number of (2+1) X (n+1) arrays of permutations of 0..n*3+2 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.
Original entry on oeis.org
0, 1, 6, 9, 61, 121, 544, 1357, 5100, 14340, 49324, 147230, 485141, 1491460, 4812843, 15012153, 47950974, 150636184, 478755674, 1509249756, 4785018013, 15110309428, 47849311565, 151226992088, 478604645313, 1513243349293, 4787751445331
Offset: 1
Some solutions for n=4:
..1..6..5..4..7....1..2..3..8..7....5..6..3..8..7....5..2..3..8..7
..0.11.10..3.14....0.11.10.13.12....0..1.10.11..4....0..1.10.13.12
..2.12.13..8..9....5..6..4.14..9....2.12.13.14..9...11..6..4.14..9
A264381
Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.
Original entry on oeis.org
1, 13, 80, 385, 2345, 14329, 88264, 538417, 3284212, 20034334, 122324128, 746763789, 4557854384, 27820780958, 169811407936, 1036520322168, 6326740063001, 38617694163183, 235716525841304, 1438783215929873
Offset: 1
Some solutions for n=4
..1..6..5..8..7....1..2..5..4..9....5..2..7..4..9....5..2..3..8..7
..0.11..2.13.12....0..7..8..3.12....0..1..8..3.12....0..1.12..9..4
.15..3..4.16..9...15..6.17.16.19...15..6.13.16.17...15..6.13.16.17
.10.17.18.19.14...10.11.18.13.14...10.11.18.19.14...10.11.18.19.14
A264382
Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.
Original entry on oeis.org
0, 25, 441, 3778, 60858, 711068, 9407584, 115929779, 1485398475, 18746069596, 237937556367, 3012183685044, 38165904080061, 483579364451792, 6125734123144467, 77617437527388938, 983250878745280550
Offset: 1
Some solutions for n=4
..1..6..5..8..9....1..2..7..6..9....5..6..7..8..9....1..6..3..4..7
..0.11.12.13..4....0.11.10..3..4....0..1.10..3..4....0.11..2.13.14
..2..3..7.18.17....5.16.15..8.17....2.12.15.18.17....5.12.15.18..9
.10.21.20.23.22...20.21.18.13.14...16.11.20.13.14...10..8.20.23.22
.15.16.14.24.19...12.22.23.24.19...21.22.23.24.19...21.16.17.24.19
A264383
Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.
Original entry on oeis.org
1, 128, 3249, 63575, 1742881, 45132986, 1187897216, 30373276651, 792780331712, 20444262438305, 530521904672461, 13716515010894393, 355463297798764953, 9199078922790223336, 238250431643039032101, 6167702521336260154448
Offset: 1
Some solutions for n=4
..5..2..3..4..9....1..2..3..6..7....1..6..5..4..7....5..2..3..4..9
..0..1.10.11.12....0.11..8..9..4....0.11.10..9.12....0..1.10.11.12
.15..6..7..8.19....5.12.15.14.19....2..3.15.18.17...15..6.13.18.19
.20.21.22.13.14...10.17.18.13.22...16..8.22.19.14....7..8.20.21.22
.25.16.17.18.29...21.16.25.26.29...25.13.27.26.29...25.16.14.26.29
.26.27.28.23.24...20.27.28.23.24...20.21.28.23.24...17.27.28.23.24
Showing 1-10 of 13 results.
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