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 A250014 T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having the maximum of any three terms equal to the minimum of the remaining three terms 14
 20, 300, 20, 2040, 520, 20, 8840, 5200, 912, 20, 28860, 30360, 13512, 1612, 20, 77700, 125780, 106352, 35440, 2864, 20, 182000, 412160, 558588, 375756, 93384, 5102, 20, 383760, 1140160, 2224848, 2499284, 1332504, 246560, 9090, 20, 745380, 2776080 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .20...300.....2040......8840.......28860........77700........182000 .20...520.....5200.....30360......125780.......412160.......1140160 .20...912....13512....106352......558588......2224848.......7259024 .20..1612....35440....375756.....2499284.....12088256......46481536 .20..2864....93384...1332504....11215276.....65834856.....298220320 .20..5102...246560...4732480....50383892....358850926....1914587120 .20..9090...651144..16813550...226419876...1956551556...12294501768 .20.16272..1723328..59817840..1018508340..10675467072...78993574080 .20.29158..4564240.212915478..4583261868..58265451392..507664903912 .20.52262.12092304.758003332.20627283972.318035896726.3262820072464 LINKS R. H. Hardin, Table of n, a(n) for n = 1..640 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: [linear recurrence of order 55] Empirical for row n: n=1: a(n) = n^6 + 3*n^5 + 5*n^4 + 5*n^3 + 4*n^2 + 2*n n=2: a(n) = n^7 + 2*n^6 + 4*n^5 + 5*n^4 + (17/3)*n^3 + 3*n^2 - (2/3)*n n=3: [polynomial of degree 8] n=4: [polynomial of degree 9] n=5: [polynomial of degree 10] n=6: [polynomial of degree 11] n=7: [polynomial of degree 12] EXAMPLE Some solutions for n=3 k=4 ..2....2....0....2....3....1....0....3....3....0....0....0....1....4....3....4 ..4....0....1....3....0....0....3....0....1....2....2....4....3....3....2....0 ..3....2....0....1....3....1....0....0....2....1....3....1....2....1....4....3 ..0....1....2....1....1....3....4....0....0....1....3....2....3....0....4....4 ..1....0....3....0....3....2....2....2....4....4....2....1....1....3....1....4 ..4....3....3....4....1....4....0....1....1....2....4....3....3....2....1....0 ..1....4....1....2....3....4....4....3....3....1....0....0....2....0....0....2 ..4....4....3....2....2....4....4....0....4....3....2....2....3....3....3....0 CROSSREFS Sequence in context: A001708 A016255 A322052 * A291256 A250015 A138794 Adjacent sequences:  A250011 A250012 A250013 * A250015 A250016 A250017 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 10 2014 STATUS approved

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Last modified April 14 21:21 EDT 2021. Contains 342962 sequences. (Running on oeis4.)