A323805
Number of permutations p of [n] such that max_{j=1..n} |p(j)-j| = 9.
Original entry on oeis.org
0, 685440, 11123280, 124658640, 1166388360, 9804325176, 77191636698, 585120530242, 4352418785279, 32202026068621, 240183024181127, 1821246237562657, 13946936520272756, 107314021044232924, 826507136709547152, 6354476077005199296, 48686592289143593088
Offset: 9
A323806
Number of permutations p of [n] such that max_{j=1..n} |p(j)-j| = 10.
Original entry on oeis.org
0, 6894720, 125516160, 1586345040, 16759964880, 158705713320, 1400777573016, 11828309150490, 97341704612482, 791331470025483, 6418149695049249, 52479230675397803, 435575075749110957, 3649912769065068556, 30745771540084745428, 259496462836442105424
Offset: 10
A323807
Number of permutations p of [n] such that max_{j=1..n} |p(j)-j| = floor(n/2).
Original entry on oeis.org
1, 1, 2, 9, 23, 157, 503, 4833, 18827, 234061, 1076807, 16447329, 87358763, 1583571277, 9541763303, 200258110593, 1350025656107, 32202026068621, 240183024181127, 6418149695049249, 52479230675397803, 1553052337531253197, 13814973114258788903, 448537638127408597953, 4312466658317635366187
Offset: 1
a(4) = 9: 1342, 1423, 1432, 2314, 2413, 3124, 3142, 3214, 3412.
a(5) = 23: 12453, 12534, 12543, 13425, 13524, 14235, 14253, 14325, 14523, 21453, 21534, 21543, 23145, 23154, 24135, 24153, 31245, 31254, 31425, 31524, 32145, 32154, 34125.
A364817
Triangle read by rows: T(n,k) = number of permutations p of [n] such that max(|p(p(i)) - i|)=k (n>=1, 0<=k<=n-1).
Original entry on oeis.org
1, 2, 0, 4, 0, 2, 10, 2, 6, 6, 26, 6, 22, 36, 30, 76, 24, 92, 144, 216, 168, 232, 80, 334, 640, 1150, 1524, 1080, 764, 312, 1328, 2984, 5516, 9712, 11784, 7920, 2620, 1152, 5234, 13296, 27668, 55750, 90240, 101400, 65520, 9496, 4616, 21780, 62124, 144564, 306272, 601756, 909312, 964080, 604800
Offset: 1
Triangle starts:
1;
2, 0;
4, 0, 2;
10, 2, 6, 6;
26, 6, 22, 36, 30;
76, 24, 92, 144, 216, 168;
232, 80, 334, 640, 1150, 1524, 1080;
764, 312, 1328, 2984, 5516, 9712, 11784, 7920;
2620, 1152, 5234, 13296, 27668, 55750, 90240, 101400, 65520;