A242583 - OEIS

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

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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