A242582 Number of length n+3 0..6 arrays with no four elements in a row with pattern aabb (with a!=b) and new values 0..6 introduced in 0..6 order

14, 46, 175, 745, 3481, 17634, 95729, 550503, 3316400, 20716789, 133010422, 871426139, 5793393075, 38920526974, 263416849112, 1792161569676, 12237842678789, 83782031880589, 574620337324485, 3946034125700132

Offset

1,1

Comments

Column 6 of A242584

Links

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

Formula

Empirical: a(n) = 22*a(n-1) -206*a(n-2) +1156*a(n-3) -4714*a(n-4) +15358*a(n-5) -40643*a(n-6) +89400*a(n-7) -167115*a(n-8) +262308*a(n-9) -349485*a(n-10) +393316*a(n-11) -361252*a(n-12) +276048*a(n-13) -160848*a(n-14) +67392*a(n-15) -20736*a(n-16)

Example

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

Crossrefs

Sequence in context: A243387 A243388 A242581 * A242583 A335676 A334830

Adjacent sequences: A242579 A242580 A242581 * A242583 A242584 A242585

Keyword

nonn

Author

R. H. Hardin, May 17 2014

Status

approved