A242580 - OEIS

A242580

Number of length n+3 0..4 arrays with no four elements in a row with pattern aabb (with a!=b) and new values 0..4 introduced in 0..4 order

14, 46, 174, 723, 3192, 14648, 68819, 327821, 1574161, 7594177, 36734890, 177970751, 862989003, 4186822990, 20318525824, 98621961836, 478737668736, 2324053123861, 11282584749066, 54774608227458, 265922223475021

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OFFSET

1,1

COMMENTS

Column 4 of A242584

LINKS

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

FORMULA

Empirical: a(n) = 11*a(n-1) -48*a(n-2) +131*a(n-3) -282*a(n-4) +452*a(n-5) -541*a(n-6) +530*a(n-7) -364*a(n-8) +176*a(n-9) -64*a(n-10)

EXAMPLE

Some solutions for n=4

..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

..0....0....0....1....0....1....0....1....1....1....1....1....1....1....1....1

..0....0....1....2....1....0....1....1....2....1....1....1....2....1....2....2

..1....0....0....1....0....1....2....2....0....0....1....2....0....0....3....3

..0....0....2....3....0....2....3....0....3....2....2....1....1....2....1....1

..2....0....2....1....2....0....1....2....3....2....3....2....3....1....4....2

..1....0....0....0....3....3....3....0....0....0....4....2....3....0....1....4

CROSSREFS

Sequence in context: A233361 A243039 A243385 * A243386 A243387 A243388

Adjacent sequences: A242577 A242578 A242579 * A242581 A242582 A242583

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 17 2014

STATUS

approved