A244700 Number of length n+4 0..8 arrays with no five consecutive elements with pattern ababa or abbba (with a!=b) and new values 0..8 introduced in 0..8 order

50, 192, 823, 3877, 19808, 108790, 637797, 3968291, 26068401, 179921359, 1298251473, 9743759935, 75670367779, 604957634338, 4954615669121, 41386737045460, 351237461377850, 3018626309147443, 26200935632153559

Offset

1,1

Comments

Column 8 of A244702

Links

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

Formula

Empirical: a(n) = 30*a(n-1) -343*a(n-2) +1785*a(n-3) -3418*a(n-4) -2904*a(n-5) +10172*a(n-6) +18515*a(n-7) -1513*a(n-8) -70620*a(n-9) -94811*a(n-10) -32588*a(n-11) +94041*a(n-12) +211477*a(n-13) +265558*a(n-14) +316407*a(n-15) +329408*a(n-16) +286665*a(n-17) +168596*a(n-18) +19643*a(n-19) -85855*a(n-20) -164056*a(n-21) -206321*a(n-22) -227539*a(n-23) -216968*a(n-24) -179819*a(n-25) -141979*a(n-26) -104021*a(n-27) -74269*a(n-28) -48384*a(n-29) -29216*a(n-30) -17666*a(n-31) -9756*a(n-32) -5441*a(n-33) -2576*a(n-34) -1217*a(n-35) -624*a(n-36) -231*a(n-37) -111*a(n-38) -28*a(n-39) -15*a(n-40) -7*a(n-41) +a(n-42) -a(n-43)

Example

Some solutions for n=2
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....0....1....1....1....1....1....1....1....1....0....1....1....1....1....1
..1....0....2....2....2....0....2....1....1....2....1....0....0....1....2....2
..1....0....1....3....1....2....3....2....0....3....0....2....0....0....0....3
..1....0....2....1....2....0....1....0....1....0....2....1....0....1....0....3
..1....0....0....3....3....3....0....0....1....3....1....2....0....2....3....3

Crossrefs

Sequence in context: A244697 A244698 A244699 * A244701 A180293 A031692

Adjacent sequences: A244697 A244698 A244699 * A244701 A244702 A244703

Keyword

nonn

Author

R. H. Hardin, Jul 04 2014

Status

approved