A208197 Number of nX4 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or left-upward diagonal neighbors

15, 2653, 639701, 156617480, 38372808893, 9402035642924, 2303673397508915, 564442821781056268, 138298988287411669755, 33885824084409470445384, 8302657077306720410135797, 2034305388933816797435987804

Offset

1,1

Comments

Column 4 of A208201

Links

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

Formula

Empirical: a(n) = 236*a(n-1) +2368*a(n-2) -37526*a(n-3) -310734*a(n-4) +811712*a(n-5) +1791667*a(n-6) -2516274*a(n-7) -1895184*a(n-8) +2138400*a(n-9) -373248*a(n-10) for n>11

Example

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

Crossrefs

Sequence in context: A241116 A126678 A340185 * A232407 A208404 A208411

Adjacent sequences: A208194 A208195 A208196 * A208198 A208199 A208200

Keyword

nonn

Author

R. H. Hardin Feb 24 2012

Status

approved