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A242237 Number of length n+6+1 0..6 arrays with every value 0..6 appearing at least once in every consecutive 6+2 elements, and new values 0..6 introduced in order. 1
28, 70, 148, 298, 592, 1174, 2332, 4642, 9256, 18442, 36736, 73174, 145756, 290338, 578344, 1152046, 2294836, 4571230, 9105724, 18138274, 36130792, 71971246, 143364148, 285576250, 568857664, 1133144098, 2257182472, 4496226670 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..117

FORMULA

Empirical: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) + a(n-6) + a(n-7).

Empirical g.f.: 2*x*(14 + 21*x + 25*x^2 + 26*x^3 + 24*x^4 + 19*x^5 + 11*x^6) / (1 - x - x^2 - x^3 - x^4 - x^5 - x^6 - x^7). - 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

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

..2....2....2....2....2....2....2....2....2....2....2....2....2....1....2....2

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

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

..0....1....4....5....0....4....4....5....0....5....5....5....4....4....5....5

..5....5....5....1....5....5....5....6....5....6....0....3....5....5....6....1

..6....6....6....6....6....6....6....0....6....0....6....6....6....6....1....6

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

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

..2....3....2....2....3....3....2....2....3....2....3....2....2....2....3....3

..3....4....4....3....0....1....5....6....5....3....5....3....3....1....4....6

CROSSREFS

Column 6 of A242239.

Sequence in context: A039460 A245990 A110829 * A182465 A308703 A277987

Adjacent sequences:  A242234 A242235 A242236 * A242238 A242239 A242240

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 08 2014

STATUS

approved

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Last modified June 22 13:46 EDT 2021. Contains 345380 sequences. (Running on oeis4.)