A243042 Number of length n+3 0..6 arrays with no four elements in a row with pattern abab (with a!=b) and new values 0..6 introduced in 0..6 order

14, 47, 179, 760, 3544, 17919, 97106, 557629, 3355754, 20947076, 134427057, 880509876, 5853586307, 39329462552, 266245960560, 1811985386143, 12377955974471, 84777925049790, 581723436274151, 3996794717429022

Offset

1,1

Comments

Column 6 of A243044

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -95*a(n-2) +154*a(n-3) +222*a(n-4) -448*a(n-5) -773*a(n-6) +213*a(n-7) +1374*a(n-8) +1181*a(n-9) +27*a(n-10) -736*a(n-11) -690*a(n-12) -334*a(n-13) -95*a(n-14) -15*a(n-15) -a(n-16)

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

Crossrefs

Sequence in context: A159450 A243040 A243041 * A243043 A013323 A205475

Adjacent sequences: A243039 A243040 A243041 * A243043 A243044 A243045

Keyword

nonn

Author

R. H. Hardin, May 29 2014

Status

approved