A243386 Number of length n+3 0..5 arrays with no four elements in a row with pattern abba (with a!=b) and new values 0..5 introduced in 0..5 order

14, 46, 174, 736, 3406, 16910, 88473, 480524, 2677917, 15183903, 87081621, 503166559, 2921501848, 17016444696, 99315740914, 580419063740, 3394980926065, 19868915344505, 116323465551363, 681180045964207, 3989535214948663

Offset

1,1

Comments

Column 5 of A243389

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -99*a(n-2) +313*a(n-3) -584*a(n-4) +752*a(n-5) -757*a(n-6) +592*a(n-7) -370*a(n-8) +191*a(n-9) -74*a(n-10) +25*a(n-11) -5*a(n-12) +a(n-13)

Example

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

Crossrefs

Sequence in context: A243039 A243385 A242580 * A243387 A243388 A242581

Adjacent sequences: A243383 A243384 A243385 * A243387 A243388 A243389

Keyword

nonn

Author

R. H. Hardin, Jun 04 2014

Status

approved