A232372 Number of nX4 0..3 arrays with every 0 next to a 1, every 1 next to a 2 and every 2 next to a 3 horizontally, diagonally or antidiagonally, and no adjacent values equal

8, 296, 4404, 63744, 957232, 14297980, 213082596, 3180405572, 47457708756, 708101568772, 10565916295512, 157657615301852, 2352456485793908, 35101771262909316, 523764821849080236, 7815262731268162904

Offset

1,1

Comments

Column 4 of A232376

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +46*a(n-2) +374*a(n-3) +330*a(n-4) +2418*a(n-5) +7211*a(n-6) +9104*a(n-7) +1944*a(n-8) -21557*a(n-9) -54205*a(n-10) -77028*a(n-11) -83393*a(n-12) -57615*a(n-13) -34140*a(n-14) -9235*a(n-15) -944*a(n-16) +2734*a(n-17) +385*a(n-18) +30*a(n-19) -35*a(n-20) +138*a(n-21) -4*a(n-22)

Example

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

Crossrefs

Sequence in context: A190840 A000842 A202559 * A264248 A326013 A222792

Adjacent sequences: A232369 A232370 A232371 * A232373 A232374 A232375

Keyword

nonn

Author

R. H. Hardin, Nov 23 2013

Status

approved