A234781 Number of (n+1)X(3+1) 0..3 arrays with no adjacent elements equal and with each 2X2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases

3084, 91916, 2761748, 83120724, 2502596188, 75353928188, 2268967605156, 68320694237108, 2057200342508092, 61944247178059100, 1865199913242292132, 56162935264244462548, 1691119155959930890236, 50921198959363203903516

Offset

1,1

Comments

Column 3 of A234786

Links

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

Formula

Empirical: a(n) = 45*a(n-1) -528*a(n-2) +2592*a(n-3) -5997*a(n-4) +5689*a(n-5) +812*a(n-6) -4760*a(n-7) +1942*a(n-8) +278*a(n-9) -112*a(n-10)

Example

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

Crossrefs

Sequence in context: A186470 A322607 A284660 * A045079 A195811 A268578

Adjacent sequences: A234778 A234779 A234780 * A234782 A234783 A234784

Keyword

nonn

Author

R. H. Hardin, Dec 30 2013

Status

approved