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A243517 Number of length n+2 0..8 arrays with no three elements in a row with pattern aba or abb (with a!=b) and new values 0..8 introduced in 0..8 order. 1
3, 5, 10, 25, 77, 280, 1157, 5296, 26406, 141585, 807064, 4837587, 30181075, 194210670, 1279159631, 8571132698, 58153599684, 398124806735, 2743173705258, 18987825983429, 131858977691833, 917797527716980, 6398758306106345 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 23*a(n-1) - 212*a(n-2) + 1010*a(n-3) - 2669*a(n-4) + 3887*a(n-5) - 2878*a(n-6) + 840*a(n-7).

Empirical g.f.: x*(3 - 64*x + 531*x^2 - 2175*x^3 + 4579*x^4 - 4607*x^5 + 1680*x^6) / ((1 - x)^2*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 7*x)). - Colin Barker, Nov 02 2018

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

..5....0....1....4....2....2....0....1....0....4....1....0....3....4....2....1

..0....4....3....5....1....4....4....2....0....2....3....2....4....0....3....5

CROSSREFS

Column 8 of A243519.

Sequence in context: A243514 A243515 A243516 * A243518 A025486 A011969

Adjacent sequences:  A243514 A243515 A243516 * A243518 A243519 A243520

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 05 2014

STATUS

approved

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Last modified February 27 15:16 EST 2020. Contains 332307 sequences. (Running on oeis4.)