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 A250063 Number of length 5+6 0..n arrays with no seven consecutive terms having the maximum of any two terms equal to the minimum of the remaining five terms. 1
 21, 7054, 348066, 6415638, 65419155, 449532868, 2330996068, 9790907652, 34925259201, 109359675810, 307898807590, 793597679082, 1898570817663, 4261710821064, 9053571280840, 18330419662312, 35574363778221 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 5 of A250059. LINKS R. H. Hardin, Table of n, a(n) for n = 1..41 FORMULA Empirical: a(n) = n^11 + (107/420)*n^10 + (9701/1512)*n^9 + (117/28)*n^8 - (919/252)*n^7 + (2677/180)*n^6 - (109/72)*n^5 - (421/63)*n^4 + (6647/756)*n^3 - (535/252)*n^2 - (23/42)*n. Conjectures from Colin Barker, Aug 22 2017: (Start) G.f.: x*(21 + 6802*x + 264804*x^2 + 2699790*x^3 + 9862370*x^4 + 14835694*x^5 + 9550828*x^6 + 2483826*x^7 + 209945*x^8 + 2720*x^9) / (1 - x)^12. a(n) = 12*a(n-1) - 66*a(n-2) + 220*a(n-3) - 495*a(n-4) + 792*a(n-5) - 924*a(n-6) + 792*a(n-7) - 495*a(n-8) + 220*a(n-9) - 66*a(n-10) + 12*a(n-11) - a(n-12) for n>12. (End) EXAMPLE Some solutions for n=2: ..0....2....0....2....0....2....2....2....1....1....2....0....0....1....0....1 ..2....1....1....2....1....1....2....2....0....1....2....2....2....1....2....2 ..2....0....1....2....1....2....1....2....2....0....2....2....1....1....1....2 ..2....2....2....2....2....1....2....1....2....2....2....2....2....0....2....1 ..1....2....2....0....0....0....0....2....2....0....0....2....1....2....0....0 ..0....2....0....2....1....2....0....0....0....1....2....2....0....2....2....2 ..2....0....2....1....2....0....2....2....1....2....1....0....2....0....2....0 ..2....2....0....0....0....1....2....0....2....2....0....1....0....2....0....1 ..2....1....1....2....2....1....1....2....0....2....2....2....2....1....2....1 ..0....0....2....2....1....2....1....2....2....0....1....0....2....1....1....2 ..1....1....1....1....2....1....1....2....2....2....2....1....2....0....2....2 CROSSREFS Sequence in context: A028451 A178327 A231906 * A307931 A270873 A263278 Adjacent sequences:  A250060 A250061 A250062 * A250064 A250065 A250066 KEYWORD nonn AUTHOR R. H. Hardin, Nov 11 2014 STATUS approved

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Last modified December 4 02:40 EST 2021. Contains 349469 sequences. (Running on oeis4.)