A186954 1/729 the number of (n+2)X3 0..2 arrays with each 3X3 subblock trace equal to some horizontal or vertical neighbor 3X3 subblock trace

0, 141, 831, 19881, 201495, 3281361, 40300479, 582004185, 7640173839, 105998979105, 1423752376935, 19487836291857, 263820169007487, 3594541860488409, 48792090150495183, 663751831202719713

Offset

1,2

Comments

Column 1 of A186962

Links

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

Formula

Empirical: a(n)=17*a(n-1)-51*a(n-2)-331*a(n-3)+7181*a(n-4)-31635*a(n-5)+101790*a(n-6)-106596*a(n-7)+95256*a(n-8)

Example

Some solutions for 4X3
..0..1..2....2..2..0....0..2..1....1..0..1....1..2..1....0..1..0....1..0..1
..1..1..2....2..2..1....1..1..1....2..2..1....1..0..2....0..0..0....1..0..1
..0..1..1....0..2..0....0..0..0....2..1..0....1..0..0....0..2..2....0..0..1
..1..0..0....2..1..0....0..2..0....0..0..0....0..0..0....2..2..0....1..0..1

Crossrefs

Sequence in context: A228597 A255154 A068046 * A235760 A201814 A235543

Adjacent sequences: A186951 A186952 A186953 * A186955 A186956 A186957

Keyword

nonn

Author

R. H. Hardin Mar 01 2011

Status

approved