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 A263666 T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and with no two consecutive increases or two consecutive decreases. 7
 1, 1, 2, 1, 2, 2, 1, 2, 4, 2, 1, 2, 4, 7, 2, 1, 2, 4, 10, 8, 2, 1, 2, 4, 10, 22, 12, 2, 1, 2, 4, 10, 32, 40, 16, 2, 1, 2, 4, 10, 32, 95, 70, 24, 2, 1, 2, 4, 10, 32, 122, 208, 133, 32, 2, 1, 2, 4, 10, 32, 122, 422, 486, 254, 48, 2, 1, 2, 4, 10, 32, 122, 544, 1222, 1064, 482, 64, 2, 1, 2, 4, 10, 32 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts .1..1...1....1....1.....1.....1.....1......1......1......1......1......1......1 .2..2...2....2....2.....2.....2.....2......2......2......2......2......2......2 .2..4...4....4....4.....4.....4.....4......4......4......4......4......4......4 .2..7..10...10...10....10....10....10.....10.....10.....10.....10.....10.....10 .2..8..22...32...32....32....32....32.....32.....32.....32.....32.....32.....32 .2.12..40...95..122...122...122...122....122....122....122....122....122....122 .2.16..70..208..422...544...544...544....544....544....544....544....544....544 .2.24.133..486.1222..2287..2770..2770...2770...2770...2770...2770...2770...2770 .2.32.254.1064.3302..7688.13102.15872..15872..15872..15872..15872..15872..15872 .2.48.482.2560.9021.25662.53324.86555.101042.101042.101042.101042.101042.101042 LINKS R. H. Hardin, Table of n, a(n) for n = 1..484 FORMULA Empirical for column k: k=1: a(n) = a(n-1) for n>2 k=2: a(n) = 2*a(n-2) for n>6 k=3: a(n) = 3*a(n-2) +2*a(n-4) for n>12 k=4: a(n) = 4*a(n-2) +6*a(n-4) +16*a(n-6) -8*a(n-10) for n>20 k=5: [order 22] for n>34 k=6: [order 52] for n>66 EXAMPLE Some solutions for n=7 k=4 ..1....1....1....0....1....2....2....2....4....3....1....1....3....4....1....4 ..0....0....5....3....5....1....0....3....0....1....5....0....4....0....4....0 ..6....6....3....1....4....5....6....0....6....4....0....5....1....3....2....5 ..4....2....4....5....6....0....1....6....2....0....6....4....6....2....6....1 ..5....5....0....2....0....6....4....1....5....6....3....6....0....5....0....6 ..2....3....6....6....3....3....3....5....1....2....4....2....5....1....5....2 ..3....4....2....4....2....4....5....4....3....5....2....3....2....6....3....3 CROSSREFS Diagonal is A001250. Sequence in context: A350700 A178522 A131240 * A107027 A355395 A107030 Adjacent sequences: A263663 A263664 A263665 * A263667 A263668 A263669 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 23 2015 STATUS approved

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Last modified March 23 23:09 EDT 2023. Contains 361454 sequences. (Running on oeis4.)