A244180 Number of length n+4 0..5 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..5 introduced in 0..5 order

49, 189, 811, 3803, 19113, 101200, 556443, 3141344, 18055451, 105031051, 615855357, 3630021442, 21469739425, 127267424833, 755516316275, 4489379505664, 26693206393472, 158778998961063, 944717095247720

Offset

1,1

Comments

Column 5 of A244185

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +4*a(n-2) -44*a(n-3) -104*a(n-4) -72*a(n-5) +290*a(n-6) +1095*a(n-7) +2087*a(n-8) +2522*a(n-9) +1293*a(n-10) -2295*a(n-11) -8084*a(n-12) -14734*a(n-13) -20253*a(n-14) -22955*a(n-15) -22128*a(n-16) -18438*a(n-17) -13301*a(n-18) -8283*a(n-19) -4402*a(n-20) -1946*a(n-21) -694*a(n-22) -179*a(n-23) -30*a(n-24)

Example

Some solutions for n=6
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....0....1....0....1....1....1....1....0....1....1....1....1....1....0....1
..2....1....1....1....2....2....1....2....1....1....2....2....0....2....1....1
..2....2....0....0....1....1....2....0....2....2....3....1....2....0....2....2
..3....3....2....1....3....3....0....0....3....3....1....1....1....3....3....3
..4....3....0....1....2....4....2....3....3....1....3....1....3....2....2....3
..4....2....2....2....1....3....3....1....2....0....4....0....4....0....1....0
..4....0....3....3....4....1....0....1....1....0....0....3....0....2....4....0
..4....3....3....2....5....0....2....4....0....1....2....0....5....1....5....1
..1....3....0....3....3....5....1....3....4....3....2....4....4....1....3....2

Crossrefs

Sequence in context: A244695 A244179 A379550 * A244181 A244182 A244183

Adjacent sequences: A244177 A244178 A244179 * A244181 A244182 A244183

Keyword

nonn

Author

R. H. Hardin, Jun 21 2014

Status

approved