A241330 Number of 3Xn 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order

5, 85, 2344, 68935, 2034543, 60066019, 1773370241, 52356524981, 1545760698649, 45636645554004, 1347364712395962, 39779252976746762, 1174432544392935470, 34673647645893709738, 1023695951556996550068, 30223338828856554979455

Offset

1,1

Comments

Row 3 of A241328

Links

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

Formula

Empirical: a(n) = 31*a(n-1) -26*a(n-2) -530*a(n-3) +271*a(n-4) +1431*a(n-5) +437*a(n-6) +157*a(n-7) -438*a(n-8) -846*a(n-9) -243*a(n-10) -243*a(n-11) for n>13

Example

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

Crossrefs

Sequence in context: A188918 A349936 A218139 * A301435 A280575 A318635

Adjacent sequences: A241327 A241328 A241329 * A241331 A241332 A241333

Keyword

nonn

Author

R. H. Hardin, Apr 19 2014

Status

approved