A249391
The number of down-up permutations of [n] where adjacent elements differ by at least 4.
Original entry on oeis.org
1, 1, 0, 0, 0, 0, 0, 0, 1, 16, 272, 2880, 32648, 333696, 3617545, 38942336, 443291226, 5168682752, 63523977424, 807890646528, 10790865576074, 149552304296960, 2168856599259491, 32631738808727552, 512002155247238968
Offset: 0
A249392
The number of down-up permutations of [n] where adjacent elements differ by at least 5.
Original entry on oeis.org
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 32, 1088, 17280, 293832, 4004352, 57687080, 773838336, 10900027949, 151388845568, 2200665880514, 32321771402240, 495575856116168, 7760560549644288, 126552637539515688
Offset: 0
A249393
The number of down-up permutations of [n] where adjacent elements differ by at least 6.
Original entry on oeis.org
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 64, 4352, 103680, 2644488, 48052224, 922764744, 15466088448, 271484691944, 4512300607488, 78169637107873, 1332149989277696, 23596090882390538
Offset: 0
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