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 A267475 Number of length-7 0..n arrays with no following elements larger than the first repeated value. 1
 71, 1112, 8770, 44901, 171601, 532840, 1418740, 3357537, 7240267, 14483216, 27233174, 48620533, 83065269, 136640848, 217501096, 336375073, 507134991, 747442216, 1079476394, 1530752741, 2135032537, 2933331864, 3975033628 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 7 of A267471. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = n^7 + (69/20)*n^6 + (17/2)*n^5 + (97/6)*n^4 + 20*n^3 + (893/60)*n^2 + 6*n + 1. Conjectures from Colin Barker, Feb 05 2018: (Start) G.f.: x*(71 + 544*x + 1862*x^2 + 1901*x^3 + 651*x^4 + 4*x^5 + 8*x^6 - x^7) / (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: ..3....4....0....4....5....2....5....3....2....0....5....5....1....5....0....2 ..0....0....4....4....3....0....3....4....0....1....0....0....4....3....2....3 ..1....1....1....0....4....4....0....1....5....5....4....2....3....5....0....2 ..3....4....2....0....4....2....4....0....5....0....4....4....0....4....3....1 ..4....5....3....4....1....0....1....1....4....2....2....0....5....1....5....2 ..3....0....3....1....0....4....4....5....2....3....3....1....4....4....2....4 ..4....3....3....1....0....2....2....1....2....3....4....4....3....2....1....0 CROSSREFS Cf. A267471. Sequence in context: A231414 A071827 A289899 * A241940 A254872 A198449 Adjacent sequences: A267472 A267473 A267474 * A267476 A267477 A267478 KEYWORD nonn AUTHOR R. H. Hardin, Jan 15 2016 STATUS approved

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Last modified December 1 18:55 EST 2022. Contains 358475 sequences. (Running on oeis4.)