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A242236 Number of length n+5+1 0..5 arrays with every value 0..5 appearing at least once in every consecutive 5+2 elements, and new values 0..5 introduced in order. 1
21, 51, 106, 211, 416, 821, 1626, 3231, 6411, 12716, 25221, 50026, 99231, 196836, 390441, 774471, 1536226, 3047231, 6044436, 11989641, 23782446, 47174451, 93574431, 185612636, 368178041, 730311646, 1448633651, 2873484856, 5699795261 (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) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) + a(n-6).

Empirical g.f.: x*(21 + 30*x + 34*x^2 + 33*x^3 + 27*x^4 + 16*x^5) / (1 - x - x^2 - x^3 - x^4 - x^5 - x^6). - 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....0....1....1....1....1....1....1....0....1....1....1....1....1

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

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

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

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

..5....5....5....5....5....5....1....5....5....5....5....5....5....5....5....5

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

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

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

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

CROSSREFS

Column 5 of A242239.

Sequence in context: A166150 A224334 A305002 * A235877 A146838 A146593

Adjacent sequences:  A242233 A242234 A242235 * A242237 A242238 A242239

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 08 2014

STATUS

approved

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Last modified June 21 04:10 EDT 2021. Contains 345354 sequences. (Running on oeis4.)