A208860 Number of nX4 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or left-upward diagonal neighbors

15, 1691, 273049, 44452082, 7240366702, 1179377179523, 192108983085145, 31292693945057258, 5097277404701734234, 830297232890575975631, 135247396001465780031025, 22030493903508619572329906

Offset

1,1

Comments

Column 4 of A208864

Links

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

Formula

Empirical: a(n) = 219*a(n-1) -10289*a(n-2) +197167*a(n-3) -1651023*a(n-4) +4615685*a(n-5) +5157645*a(n-6) -45444123*a(n-7) +78064236*a(n-8) -63363708*a(n-9) +40081392*a(n-10) -18662400*a(n-11) for n>12

Example

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

Crossrefs

Sequence in context: A208020 A205423 A263600 * A195891 A195521 A122184

Adjacent sequences: A208857 A208858 A208859 * A208861 A208862 A208863

Keyword

nonn

Author

R. H. Hardin Mar 02 2012

Status

approved