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A242238
Number of length n+7+1 0..7 arrays with every value 0..7 appearing at least once in every consecutive 7+2 elements, and new values 0..7 introduced in order.
1
36, 92, 197, 400, 799, 1590, 3165, 6308, 12587, 25138, 50184, 100171, 199942, 399085, 796580, 1589995, 3173682, 6334777, 12644416, 25238648, 50377125, 100554308, 200709531, 400622482, 799654969, 1596136256, 3185937735, 6359231054
OFFSET
1,1
LINKS
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) + a(n-8).
Empirical g.f.: x*(36 + 56*x + 69*x^2 + 75*x^3 + 74*x^4 + 66*x^5 + 51*x^6 + 29*x^7) / (1 - x - x^2 - x^3 - x^4 - x^5 - x^6 - x^7 - x^8). - 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....0....1....1....1....0....1....0....1....1
..2....2....2....2....2....2....2....1....1....2....2....1....2....1....2....2
..3....3....3....3....3....3....3....2....2....3....3....2....3....2....0....3
..4....4....4....1....4....1....4....3....3....4....0....3....0....3....3....4
..5....5....5....4....5....4....5....4....4....0....4....4....4....4....4....5
..0....6....0....5....6....5....6....5....5....5....5....5....5....5....5....6
..6....0....6....6....2....6....7....6....6....6....6....6....6....6....6....0
..7....7....7....7....7....7....0....7....7....7....7....7....7....7....7....7
..1....2....2....0....0....0....1....0....0....1....3....0....2....2....6....3
..2....1....1....2....1....3....1....1....2....2....1....2....1....0....1....1
..3....3....3....3....6....2....2....2....1....3....2....1....3....1....2....2
..4....2....5....3....3....2....3....2....2....5....5....6....1....6....0....4
CROSSREFS
Column 7 of A242239.
Sequence in context: A182467 A060936 A247246 * A200866 A324297 A250785
KEYWORD
nonn
AUTHOR
R. H. Hardin, May 08 2014
STATUS
approved