A198713 Number of nX6 0..3 arrays with values 0..3 introduced in row major order and no element equal to any horizontal or vertical neighbor

41, 8404, 1749965, 364637102, 75987485516, 15835552812749, 3300094936852775, 687733321797971342, 143322307142433346196, 29868095632655586533219, 6224454258216624967544685, 1297164418016611898106044912

Offset

1,1

Comments

Column 6 of A198715

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 313*a(n-1) -25836*a(n-2) +915863*a(n-3) -16213670*a(n-4) +144756201*a(n-5) -517271096*a(n-6) -1142631169*a(n-7) +16130100519*a(n-8) -49834494904*a(n-9) +41222570902*a(n-10) +81411834252*a(n-11) -186980689770*a(n-12) +120589827444*a(n-13) -21008679048*a(n-14)

Example

Some solutions with all values from 0 to 3 for n=4
..0..1..0..1..0..2....0..1..0..2..3..0....0..1..0..2..0..3....0..1..0..2..1..2
..1..0..2..3..2..3....1..0..2..0..1..2....1..0..2..0..1..2....1..0..2..0..2..3
..0..1..0..2..3..2....0..1..0..2..0..3....0..1..0..1..0..3....0..1..0..1..0..2
..1..0..1..3..1..3....1..0..3..0..2..0....1..0..2..0..3..2....1..0..3..2..1..3

Crossrefs

Sequence in context: A325481 A199652 A241111 * A208319 A201171 A208389

Adjacent sequences: A198710 A198711 A198712 * A198714 A198715 A198716

Keyword

nonn

Author

R. H. Hardin Oct 29 2011

Status

approved