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A242318
Number of length n+3+2 0..3 arrays with every value 0..3 appearing at least once in every consecutive 3+3 elements, and new values 0..3 introduced in order.
1
65, 185, 503, 1316, 3398, 8801, 23069, 60197, 156887, 408962, 1066514, 2781611, 7253453, 18914369, 49323167, 128621684, 335409314, 874649537, 2280834353, 5947765493, 15510073823, 40445831522, 105471145814, 275038567523
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = a(n-1) + 2*a(n-2) + 3*a(n-3) + 5*a(n-4) + 6*a(n-5) - a(n-6) - a(n-7) - a(n-9) - a(n-10).
Empirical g.f.: x*(65 + 120*x + 188*x^2 + 248*x^3 + 196*x^4 - 53*x^5 - 36*x^6 - 16*x^7 - 49*x^8 - 35*x^9) / (1 - x - 2*x^2 - 3*x^3 - 5*x^4 - 6*x^5 + x^6 + x^7 + x^9 + x^10). - Colin Barker, Nov 01 2018
EXAMPLE
Some solutions for n=5:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....1....1....0....1....0....1....1....0....1....1....1....1....1....1
..0....1....0....2....1....1....1....2....1....1....2....2....2....1....2....2
..1....2....1....0....2....2....2....3....2....2....3....0....0....2....3....3
..2....3....2....3....0....3....3....1....3....3....2....3....1....1....0....1
..3....0....3....3....3....0....2....2....0....1....0....2....3....3....1....1
..1....1....0....1....2....1....0....0....1....0....3....2....2....0....3....0
..3....1....2....2....1....2....3....2....0....2....1....1....0....1....1....2
..0....2....1....0....3....1....1....3....2....3....0....2....2....2....2....0
..3....0....1....0....2....3....1....0....2....0....0....0....3....3....3....3
CROSSREFS
Column 3 of A242322.
Sequence in context: A255244 A261989 A051968 * A200867 A175795 A056777
KEYWORD
nonn
AUTHOR
R. H. Hardin, May 10 2014
STATUS
approved