A206362 Number of (n+1)X3 0..3 arrays with every 2X3 or 3X2 subblock having no more than two equal edges, and new values 0..3 introduced in row major order

151, 6329, 294983, 13804578, 643832706, 30049504156, 1402595823865, 65463971182963, 3055453674984819, 142609963970592832, 6656158355663856332, 310668667499188649660, 14500109457714755675679, 676776236342576687653295

Offset

1,1

Comments

Column 2 of A206366

Links

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

Formula

Empirical: a(n) = 45*a(n-1) +16*a(n-2) +3895*a(n-3) -48177*a(n-4) +77462*a(n-5) +110913*a(n-6) +1127659*a(n-7) -4335582*a(n-8) +2941967*a(n-9) -8832158*a(n-10) +22085991*a(n-11) -20203605*a(n-12) +43969692*a(n-13) -43415473*a(n-14) +53063555*a(n-15) -64756263*a(n-16) +19624030*a(n-17) -46916214*a(n-18) +4063848*a(n-19) +972000*a(n-20) +9782208*a(n-21)

Example

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

Crossrefs

Sequence in context: A375332 A250375 A060889 * A200934 A174759 A289821

Adjacent sequences: A206359 A206360 A206361 * A206363 A206364 A206365

Keyword

nonn

Author

R. H. Hardin Feb 06 2012

Status

approved