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 A249884 Number of length 1+6 0..n arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms. 1
 35, 805, 7420, 40740, 161315, 510965, 1377040, 3284400, 7120155, 14296205, 26954620, 48220900, 82510155, 135891245, 216513920, 335104000, 505531635, 745457685, 1077063260, 1527867460, 2131638355, 2929402245, 3970556240 (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) = n^7 + (7/2)*n^6 + 7*n^5 + (35/4)*n^4 + (49/6)*n^3 + (21/4)*n^2 + (4/3)*n. Conjectures from Colin Barker, Nov 10 2018: (Start) G.f.: 35*x*(1 + x)*(1 + 4*x + x^2)*(1 + 10*x + x^2) / (1 - x)^8. a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n>8. (End) EXAMPLE Some solutions for n=5: ..2....1....1....0....2....0....0....1....0....4....0....2....0....2....1....1 ..5....2....5....1....0....5....2....3....2....0....2....3....3....0....4....1 ..2....1....0....5....2....5....5....0....3....0....3....4....5....1....5....5 ..5....5....0....5....1....2....2....0....0....3....3....4....2....4....1....4 ..1....5....0....3....0....0....4....0....0....3....5....4....4....3....5....5 ..0....3....2....1....3....3....0....3....5....2....0....0....4....5....4....1 ..1....0....3....3....3....4....0....3....3....4....3....0....4....1....3....2 CROSSREFS Row 1 of A249883. Sequence in context: A028024 A226941 A249883 * A223957 A109508 A267834 Adjacent sequences: A249881 A249882 A249883 * A249885 A249886 A249887 KEYWORD nonn AUTHOR R. H. Hardin, Nov 07 2014 STATUS approved

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Last modified May 27 02:41 EDT 2024. Contains 372847 sequences. (Running on oeis4.)