A241324 Number of nX3 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order

2, 59, 2344, 95144, 3875244, 157912026, 6435036610, 262234101215, 10686305830308, 435477843275035, 17746165666239258, 723174326871008607, 29470090437788760318, 1200936203282125872968, 48939373545548944414862

Offset

1,1

Comments

Column 3 of A241328

Links

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

Formula

Empirical: a(n) = 45*a(n-1) -171*a(n-2) -57*a(n-3) -1321*a(n-4) +2701*a(n-5) +10837*a(n-6) +5209*a(n-7) +13262*a(n-8) -1578*a(n-9) -7272*a(n-10) -5706*a(n-11) -17487*a(n-12) -2511*a(n-13) +4779*a(n-14) -729*a(n-15)

Example

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

Crossrefs

Sequence in context: A283489 A051055 A003827 * A369952 A139190 A050283

Adjacent sequences: A241321 A241322 A241323 * A241325 A241326 A241327

Keyword

nonn

Author

R. H. Hardin, Apr 19 2014

Status

approved