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A263999 Number of (n+1) X (2+1) arrays of permutations of 0..n*3+2 with each element having index change (+-,+-) 0,0 1,2 or 1,0. 1
18, 99, 925, 7304, 62101, 516117, 4331090, 36234055, 303517857, 2541399696, 21283031073, 178225556041, 1492505510450, 12498522497307, 104665286104629, 876488490428056, 7339896528996157, 61465808537919885, 514727394291340594 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) +37*a(n-2) -44*a(n-3) -256*a(n-4) +64*a(n-5) +256*a(n-6).

Empirical g.f.: x*(3 + 4*x)*(6 - 5*x - 72*x^2 + 32*x^3 + 64*x^4) / (1 - 5*x - 37*x^2 + 44*x^3 + 256*x^4 - 64*x^5 - 256*x^6). - Colin Barker, Jan 03 2019

EXAMPLE

Some solutions for n=4:

..3..1..5....5..4..3....0..1..3....0..1..5....0..1..3....0..1..5....0..1..3

..0..4..2....0..1..2....2..4..5....3..7..2....2..7..5....2..4..6....2..4..5

.11.10..8...11..7..8....6..7.11....9..4.11....6..4..8....3.10..9....9.10..8

..6..7.14...14.13..6....8.10.14....6.13..8....9.10.12....8..7.14....6..7.14

.12.13..9...12.10..9...12.13..9...12.10.14...11.13.14...12.13.11...12.13.11

CROSSREFS

Column 2 of A264003.

Sequence in context: A044650 A008920 A221911 * A087638 A231144 A259231

Adjacent sequences:  A263996 A263997 A263998 * A264000 A264001 A264002

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 31 2015

STATUS

approved

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Last modified June 25 14:30 EDT 2019. Contains 324352 sequences. (Running on oeis4.)