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A212851 Number of n X 4 arrays with rows being permutations of 0..3 and no column j greater than column j-1 in all rows. 1
1, 211, 8983, 271375, 7225951, 182199871, 4479288703, 108787179775, 2626338801151, 63217691436031, 1519452489242623, 36493601345048575, 876167372044132351, 21031868446675976191, 504811062363654815743 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A212855.

LINKS

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

FORMULA

Empirical: a(n) = 47*a(n-1) - 718*a(n-2) + 4416*a(n-3) - 10656*a(n-4) + 6912*a(n-5).

Empirical: a(n) = 24^n + 6^n - 3*12^n + 2*4^n - 1. R. J. Mathar, Jun 25 2012

Empirical g.f.: x*(1 + 164*x - 216*x^2 - 3744*x^3) / ((1 - x)*(1 - 4*x)*(1 - 6*x)*(1 - 12*x)*(1 - 24*x)). - Colin Barker, Jul 21 2018

EXAMPLE

Some solutions for n=3:

..1..3..0..2....3..1..2..0....1..2..0..3....1..2..0..3....1..2..0..3

..2..1..0..3....3..1..0..2....0..1..3..2....3..0..2..1....2..1..3..0

..2..3..1..0....1..2..0..3....3..2..0..1....1..2..0..3....1..3..2..0

CROSSREFS

Cf. A212855.

Sequence in context: A013529 A229519 A289983 * A069425 A276461 A093732

Adjacent sequences:  A212848 A212849 A212850 * A212852 A212853 A212854

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 28 2012

STATUS

approved

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Last modified April 19 01:29 EDT 2019. Contains 322237 sequences. (Running on oeis4.)