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A263664 Number of length n arrays of permutations of 0..n-1 with each element moved by -6 to 6 places and with no two consecutive increases or two consecutive decreases. 1
1, 2, 4, 10, 32, 122, 544, 2287, 7688, 25662, 79456, 256482, 809784, 2690604, 8874432, 30009480, 98599568, 332395712, 1084222064, 3637730112, 11844968640, 39726351272, 129526799072, 434837072968, 1418856843552, 4764806022144 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 6 of A263666.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-2) +26*a(n-4) +166*a(n-6) +1096*a(n-8) +5220*a(n-10) +2608*a(n-12) -32104*a(n-14) -26760*a(n-16) +18920*a(n-18) -246704*a(n-20) -102880*a(n-22) +272224*a(n-24) -372992*a(n-26) +1227008*a(n-28) -1025920*a(n-30) +3805952*a(n-32) -5750016*a(n-34) +3855360*a(n-36) +801280*a(n-38) -2436096*a(n-40) +253952*a(n-42) +1060864*a(n-44) -978944*a(n-46) +229376*a(n-48) +49152*a(n-50) -16384*a(n-52) for n>66

EXAMPLE

Some solutions for n=7

..6....3....2....3....1....5....6....5....4....1....5....6....2....2....2....4

..1....6....0....1....4....0....3....1....0....6....4....2....4....4....4....0

..2....1....5....5....0....4....5....4....6....4....6....4....0....0....1....3

..0....5....1....4....6....1....0....2....2....5....2....0....3....5....5....1

..5....2....4....6....3....3....2....3....3....2....3....5....1....1....0....6

..3....4....3....0....5....2....1....0....1....3....0....1....6....6....6....2

..4....0....6....2....2....6....4....6....5....0....1....3....5....3....3....5

CROSSREFS

Cf. A263666.

Sequence in context: A000736 A263663 A176006 * A263665 A001250 A013032

Adjacent sequences:  A263661 A263662 A263663 * A263665 A263666 A263667

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 23 2015

STATUS

approved

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Last modified October 17 22:48 EDT 2018. Contains 316297 sequences. (Running on oeis4.)