A263758
Number of length n arrays of permutations of 0..n-1 with each element moved by -2 to 2 places and exactly one more element moved upwards than downwards.
Original entry on oeis.org
0, 0, 1, 2, 6, 14, 38, 88, 217, 506, 1209, 2810, 6600, 15308, 35653, 82532, 191371, 442428, 1023499, 2364324, 5463084, 12614628, 29131729, 67256334, 155289747, 358522126, 827816037, 1911447100, 4414086763, 10194246046, 23546391253
Offset: 1
Some solutions for n=7
..0....0....1....2....2....1....2....2....0....2....0....2....2....1....0....0
..3....1....0....0....0....0....0....1....2....0....1....0....0....0....2....3
..1....2....3....1....1....4....1....0....1....4....3....1....4....2....1....1
..2....3....2....3....3....2....5....5....3....1....2....5....1....3....5....5
..5....6....6....6....5....6....6....3....6....6....6....3....3....6....3....2
..4....4....4....5....4....3....3....4....4....3....4....6....5....4....4....4
..6....5....5....4....6....5....4....6....5....5....5....4....6....5....6....6
A263759
Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and exactly one more element moved upwards than downwards.
Original entry on oeis.org
0, 0, 1, 4, 19, 50, 165, 476, 1543, 4544, 14108, 41666, 127313, 379674, 1152233, 3448844, 10424890, 31290646, 94453041, 284071264, 857114281, 2581411140, 7789677889, 23486717204, 70901078303, 213968862304, 646246694302
Offset: 1
Some solutions for n=7
..2....2....2....3....3....3....3....0....3....2....0....2....0....1....3....0
..0....0....1....0....0....2....4....2....2....0....3....1....1....0....4....3
..1....3....5....4....2....0....0....5....0....5....2....0....5....2....0....5
..5....1....0....6....1....6....6....1....1....1....1....3....3....3....1....1
..3....6....3....1....4....1....1....3....6....4....6....6....2....6....2....2
..6....4....4....2....5....4....2....4....4....3....4....4....4....4....6....4
..4....5....6....5....6....5....5....6....5....6....5....5....6....5....5....6
A263760
Number of length n arrays of permutations of 0..n-1 with each element moved by -4 to 4 places and exactly one more element moved upwards than downwards.
Original entry on oeis.org
0, 0, 1, 4, 31, 106, 485, 1546, 6083, 21020, 83505, 298850, 1157277, 4174794, 15848043, 57833610, 218278105, 803890160, 3022404618, 11185043168, 41937855185, 155739217814, 583290598528, 2171877488824, 8131306069328
Offset: 1
Some solutions for n=7
..3....0....2....4....0....2....4....4....4....2....0....2....4....4....1....4
..0....3....5....1....5....0....5....0....3....4....2....0....1....0....4....5
..2....6....1....0....2....5....6....2....1....0....6....6....0....1....6....0
..1....1....0....3....1....1....2....5....2....6....3....5....5....3....0....6
..5....4....6....2....6....6....0....1....0....3....1....3....3....5....3....1
..4....2....3....5....3....4....1....3....5....1....4....1....2....2....2....3
..6....5....4....6....4....3....3....6....6....5....5....4....6....6....5....2
A263761
Number of length n arrays of permutations of 0..n-1 with each element moved by -5 to 5 places and exactly one more element moved upwards than downwards.
Original entry on oeis.org
0, 0, 1, 4, 31, 146, 961, 3662, 18444, 69848, 326102, 1330424, 6299674, 26712358, 124560630, 533971782, 2439626795, 10546384942, 47745529864, 208543550082, 940653815829, 4138965244350, 18611240779758, 82249270808254
Offset: 1
Some solutions for n=7
..1....0....1....5....4....2....0....0....3....5....0....5....5....5....0....3
..6....6....5....3....5....6....1....6....4....0....6....3....3....2....5....1
..2....2....0....0....1....0....2....2....1....4....2....0....0....0....4....0
..3....1....6....2....6....5....6....5....2....1....4....6....6....1....1....2
..0....4....3....6....3....1....4....1....6....2....1....2....1....4....2....4
..4....5....4....1....0....3....3....3....0....6....3....4....2....3....3....5
..5....3....2....4....2....4....5....4....5....3....5....1....4....6....6....6
A263762
Number of length n arrays of permutations of 0..n-1 with each element moved by -6 to 6 places and exactly one more element moved upwards than downwards.
Original entry on oeis.org
0, 0, 1, 4, 31, 146, 1289, 6152, 41747, 181272, 1029204, 4541726, 24695797, 116559212, 642871583, 3152492440, 17219444286, 85580720364, 459088917466, 2296809945900, 12164522824153, 61405250721512, 323474064711527
Offset: 1
Some solutions for n=7
..5....0....6....4....0....1....0....5....4....6....6....5....2....1....0....0
..0....5....0....6....4....5....6....0....0....1....5....0....5....0....2....3
..4....2....2....2....2....0....2....6....2....2....3....4....0....5....5....1
..3....1....3....3....6....3....1....4....6....0....1....6....1....3....1....2
..1....3....4....0....3....2....5....1....3....5....2....2....3....2....3....6
..2....6....5....1....1....4....3....2....5....4....0....3....6....4....4....5
..6....4....1....5....5....6....4....3....1....3....4....1....4....6....6....4
A263763
Number of length n arrays of permutations of 0..n-1 with each element moved by -7 to 7 places and exactly one more element moved upwards than downwards.
Original entry on oeis.org
0, 0, 1, 4, 31, 146, 1289, 7736, 68811, 354568, 2562282, 12614090, 80560052, 406847624, 2530379183, 13576171696, 85562497735, 476311791218, 2983359368303, 16861046247216, 104017882519889, 591843352618090, 3599197579892399
Offset: 1
Some solutions for n=7
..0....4....1....3....3....3....6....4....2....2....2....6....5....6....6....6
..1....6....5....6....6....5....5....3....0....5....6....5....0....4....0....0
..2....0....6....5....5....2....1....6....3....0....0....0....2....1....2....4
..6....1....2....2....2....0....4....1....6....6....5....3....4....3....3....1
..3....5....3....0....1....1....0....0....1....3....1....4....3....2....4....5
..5....2....4....1....4....4....3....2....4....1....4....2....1....5....5....3
..4....3....0....4....0....6....2....5....5....4....3....1....6....0....1....2
Showing 1-6 of 6 results.
Comments