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A243518 Number of length n+2 0..9 arrays with no three elements in a row with pattern aba or abb (with a!=b) and new values 0..9 introduced in 0..9 order. 1
3, 5, 10, 25, 77, 280, 1157, 5297, 26443, 142372, 819731, 5009281, 32252381, 217194296, 1518771097, 10952508217, 80950970231, 609958242292, 4664758144295, 36080343085145, 281462510140633, 2209800140157400, 17432715938447165 (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) = 30*a(n-1) - 372*a(n-2) + 2478*a(n-3) - 9639*a(n-4) + 22260*a(n-5) - 29588*a(n-6) + 20592*a(n-7) - 5760*a(n-8).

Empirical g.f.: x*(3 - 85*x + 976*x^2 - 5849*x^3 + 19574*x^4 - 36095*x^5 + 33305*x^6 - 11520*x^7) / ((1 - x)^2*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 6*x)*(1 - 8*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....0....1....0....1....0....1....0....1....1....0....1....1....1....1

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

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

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

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

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

CROSSREFS

Column 9 of A243519.

Sequence in context: A243515 A243516 A243517 * A011969 A003187 A262306

Adjacent sequences:  A243515 A243516 A243517 * A243519 A243520 A243521

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 05 2014

STATUS

approved

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Last modified February 23 08:18 EST 2019. Contains 320420 sequences. (Running on oeis4.)