A244697 Number of length n+4 0..5 arrays with no five consecutive elements with pattern ababa or abbba (with a!=b) and new values 0..5 introduced in 0..5 order

50, 192, 822, 3848, 19309, 102127, 561161, 3166917, 18201193, 105893207, 621089263, 3662332727, 21671238176, 128530941331, 763458928009, 4539335270638, 27007213540325, 160750196255316, 957070841674474

Offset

1,1

Comments

Column 5 of A244702

Links

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

Formula

Empirical: a(n) = 12*a(n-1) -41*a(n-2) +16*a(n-3) +81*a(n-4) +15*a(n-5) -19*a(n-6) -158*a(n-7) -58*a(n-8) -45*a(n-9) -106*a(n-10) -38*a(n-11) -53*a(n-12) +85*a(n-13) +57*a(n-14) +46*a(n-15) +67*a(n-16) +37*a(n-17) +56*a(n-18) +15*a(n-19) +15*a(n-20) +10*a(n-21) +3*a(n-22) +4*a(n-23) -a(n-24) +a(n-25)

Example

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

Crossrefs

Sequence in context: A206121 A349808 A244696 * A244698 A244699 A244700

Adjacent sequences: A244694 A244695 A244696 * A244698 A244699 A244700

Keyword

nonn

Author

R. H. Hardin, Jul 04 2014

Status

approved