A243603 Number of length n+2 0..6 arrays with no three elements in a row with pattern aba (with a!=b) and new values 0..6 introduced in 0..6 order

4, 10, 29, 97, 366, 1533, 7020, 34631, 181391, 995139, 5651157, 32902123, 194971159, 1169639664, 7076433285, 43062727014, 263096669677, 1611790269519, 9892521309824, 60793268309048, 373921041602730, 2301237378396793

Offset

1,1

Comments

Column 6 of A243607

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -106*a(n-2) +286*a(n-3) -245*a(n-4) -231*a(n-5) +329*a(n-6) +147*a(n-7) -106*a(n-8) -74*a(n-9) -15*a(n-10) -a(n-11)

Example

Some solutions for n=5
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....0....1....1....1....1....1....1....1....1....1....0....1....0
..2....2....2....1....2....2....2....2....1....2....1....2....1....1....2....1
..2....2....0....2....3....3....2....3....2....2....2....3....1....1....3....1
..2....0....0....3....0....0....1....1....3....3....0....4....2....2....3....2
..3....0....3....3....2....4....3....4....3....4....0....4....0....3....4....3
..3....0....4....4....2....5....3....4....2....0....2....1....1....4....5....1

Crossrefs

Sequence in context: A152808 A243601 A243602 * A243604 A243605 A243606

Adjacent sequences: A243600 A243601 A243602 * A243604 A243605 A243606

Keyword

nonn

Author

R. H. Hardin, Jun 07 2014

Status

approved