A206361 Number of (n+1) X 2 0..3 arrays with every 2 X 3 or 3 X 2 subblock having no more than two equal edges, and new values 0..3 introduced in row major order.

15, 151, 1990, 27548, 383021, 5327971, 74147694, 1031960617, 14362233044, 199885520104, 2781900205987, 38716999664337, 538842441505438, 7499320389877491, 104371523732504906, 1452586950516895892

Offset

1,1

Comments

Column 1 of A206366.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) - 42*a(n-2) + 234*a(n-3) - 784*a(n-4) + 714*a(n-5) - 609*a(n-6) + 1008*a(n-7) for n>8.

Empirical g.f.: x*(15 - 89*x + 204*x^2 - 1460*x^3 + 2259*x^4 - 1335*x^5 + 2289*x^6 - 1008*x^7) / ((1 - 2*x - 3*x^3)*(1 - 14*x + 14*x^2 - 203*x^3 + 336*x^4)). - Colin Barker, Jun 15 2018

Example

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

Crossrefs

Cf. A206366.

Sequence in context: A323298 A206366 A016103 * A041424 A021124 A004322

Adjacent sequences: A206358 A206359 A206360 * A206362 A206363 A206364

Keyword

nonn

Author

R. H. Hardin, Feb 06 2012

Status

approved