A263593 Number of length n arrays of permutations of 0..n-1 with each element moved by -4 to 4 places and the median of every three consecutive elements nondecreasing.

1, 2, 6, 16, 52, 164, 476, 1428, 4308, 12816, 38324, 114924, 343696, 1028096, 3077672, 9209704, 27556452, 82465380, 246779888, 738461796, 2209820148, 6612853424, 19788642456, 59216642832, 177203814880, 530275470412, 1586827690308

Offset: 1

Author

R. H. Hardin, Oct 22 2015

Keywords

• nonn

Comments

Column 4 of A263597.

Examples

			Some solutions for n=6
..2....4....1....1....1....1....1....1....0....0....0....1....0....0....3....4
..1....1....5....0....5....0....0....0....5....4....1....3....1....3....2....0
..3....2....2....2....0....2....2....5....1....1....2....2....3....2....0....1
..4....5....0....3....2....5....3....3....2....2....4....0....5....1....4....3
..0....0....4....4....4....3....5....2....4....3....5....4....2....4....5....5
..5....3....3....5....3....4....4....4....3....5....3....5....4....5....1....2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Crossrefs

Cf. A263597.

Formula

Empirical: a(n) = a(n-1) +a(n-2) +12*a(n-3) +5*a(n-4) +7*a(n-5) +2*a(n-6) +17*a(n-7) +31*a(n-8) -9*a(n-9) -14*a(n-10) +10*a(n-11) -22*a(n-12) -4*a(n-13) -4*a(n-15)