A263690 Number of length n arrays of permutations of 0..n-1 with each element moved by -n to n places and every three consecutive elements having its maximum within 3 of its minimum.

1, 1, 2, 6, 24, 36, 36, 48, 80, 128, 200, 288, 432, 648, 992, 1496, 2272, 3424, 5192, 7840, 11880, 17952, 27184, 41096, 62208, 94072, 142368, 215328, 325832, 492864, 745736, 1128096, 1706800, 2582024, 3906464, 5909784, 8941024, 13526368, 20464072, 30959200

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..5558

Formula

Empirical: a(n) = a(n-1) +a(n-2) -a(n-3) +a(n-4) for n>12.

G.f.: (8*x^12+8*x^11-4*x^10-8*x^8+6*x^7+20*x^6-7*x^5-16*x^4-4*x^3-1) / (x^4-x^3+x^2+x-1). - Alois P. Heinz, Apr 08 2020

Crossrefs

Diagonal of A263693.

Cf. A333833.

Sequence in context: A069141 A158977 A165823 * A137326 A163912 A257546

Adjacent sequences: A263687 A263688 A263689 * A263691 A263692 A263693

Keyword

nonn,easy

Author

R. H. Hardin, Oct 23 2015

Extensions

a(0), a(24)-a(39) from Alois P. Heinz, Apr 08 2020

Status

approved