A242583 Number of length n+3 0..7 arrays with no four elements in a row with pattern aabb (with a!=b) and new values 0..7 introduced in 0..7 order

14, 46, 175, 745, 3482, 17670, 96472, 562109, 3469255, 22511261, 152416564, 1068885011, 7711216523, 56883599674, 426892077104, 3245855512924, 24923815228380, 192793238658181, 1499479762818409, 11709699180354092

Offset

1,1

Comments

Column 7 of A242584

Links

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

Formula

Empirical: a(n) = 29*a(n-1) -365*a(n-2) +2751*a(n-3) -14728*a(n-4) +62166*a(n-5) -215704*a(n-6) +627128*a(n-7) -1562623*a(n-8) +3360115*a(n-9) -6247103*a(n-10) +10125897*a(n-11) -14168297*a(n-12) +17087259*a(n-13) -17667849*a(n-14) +15155431*a(n-15) -10856310*a(n-16) +6024124*a(n-17) -2417520*a(n-18) +705600*a(n-19)

Example

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

Crossrefs

Sequence in context: A243388 A242581 A242582 * A335676 A334830 A159450

Adjacent sequences: A242580 A242581 A242582 * A242584 A242585 A242586

Keyword

nonn

Author

R. H. Hardin, May 17 2014

Status

approved