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A243724 Number of length n+2 0..5 arrays with no three unequal elements in a row and no three equal elements in a row and new values 0..5 introduced in 0..5 order. 1
3, 6, 12, 25, 53, 116, 259, 594, 1389, 3322, 8087, 20057, 50512, 129132, 334290, 875527, 2315597, 6177950, 16603417, 44905650, 122094567, 333458152, 914121383, 2513767379, 6930585550, 19149215940, 53003518044, 146926107661, 407775615941 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) - 29*a(n-3) + 20*a(n-4) + 51*a(n-5) - 31*a(n-6) - 30*a(n-7).
Empirical g.f.: x*(3 - 9*x - 18*x^2 + 52*x^3 + 42*x^4 - 74*x^5 - 49*x^6) / ((1 - 2*x)*(1 - x - x^2)*(1 - x - 3*x^2)*(1 - x - 5*x^2)). - Colin Barker, Nov 03 2018
EXAMPLE
Some solutions for n=6:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....0....1....1....1....1....1....0....1....0....1....1....1....0....1
..1....1....1....1....0....1....0....1....1....1....1....1....0....0....1....1
..2....0....0....2....0....0....0....2....1....0....1....0....1....1....0....0
..2....0....0....2....1....0....1....2....2....0....2....1....0....0....1....1
..3....2....2....0....1....1....1....1....2....1....2....1....0....0....0....0
..3....0....2....2....0....1....0....2....0....0....3....0....1....2....1....1
..1....2....0....0....0....2....1....1....2....1....3....1....0....0....1....1
CROSSREFS
Column 5 of A243729.
Sequence in context: A243722 A187260 A243723 * A243725 A243726 A243727
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jun 09 2014
STATUS
approved

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Last modified February 25 11:24 EST 2024. Contains 370325 sequences. (Running on oeis4.)