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 A250059 T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having the maximum of any two terms equal to the minimum of the remaining five terms 14
 21, 735, 21, 7224, 1299, 21, 40320, 18966, 2292, 21, 160545, 142170, 50028, 4030, 21, 509691, 715155, 505154, 132054, 7054, 21, 1375080, 2753061, 3213429, 1800040, 348066, 12284, 21, 3281544, 8746524, 15002490, 14492075, 6415638, 915064, 21276 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .21....735.....7224......40320.......160545........509691........1375080 .21...1299....18966.....142170.......715155.......2753061........8746524 .21...2292....50028.....505154......3213429......15002490.......56118016 .21...4030...132054....1800040.....14492075......82072086......361440380 .21...7054...348066....6415638.....65419155.....449532868.....2330996068 .21..12284...915064...22838540....295152625....2461761504....15032948568 .21..21276..2398187...81138873...1329866076...13468748489....96884873906 .21..36654..6264519..287576973...5981519744...73595233759...623803084898 .21..65647.16780283.1035133361..27178700296..404992490768..4037252105050 .21.117118.44934437.3726902703.123528843942.2229198191613.26134202969838 LINKS R. H. Hardin, Table of n, a(n) for n = 1..507 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: [linear recurrence of order 98] Empirical for row n: n=1: a(n) = n^7 + (7/2)*n^6 + 7*n^5 + (35/4)*n^4 + (7/2)*n^3 - (7/4)*n^2 - n n=2: [polynomial of degree 8] n=3: [polynomial of degree 9] n=4: [polynomial of degree 10] n=5: [polynomial of degree 11] n=6: [polynomial of degree 12] n=7: [polynomial of degree 13] EXAMPLE Some solutions for n=3 k=4 ..1....1....1....0....1....1....0....0....1....1....0....0....0....0....0....1 ..0....0....0....0....0....1....0....4....3....0....2....4....2....4....1....1 ..1....2....0....3....4....4....3....0....1....2....4....0....0....0....1....4 ..2....3....3....4....3....2....4....3....4....3....4....4....3....2....2....3 ..1....0....1....1....2....4....4....1....0....2....4....3....1....3....0....2 ..4....1....2....3....3....2....3....3....2....2....1....2....2....4....1....3 ..0....4....2....2....3....3....1....3....0....2....3....4....2....4....1....2 ..4....4....2....3....0....0....4....2....2....0....4....3....4....4....0....0 ..0....4....2....1....0....0....2....3....4....1....4....0....3....4....4....1 CROSSREFS Sequence in context: A012479 A317824 A297504 * A250060 A078791 A201069 Adjacent sequences: A250056 A250057 A250058 * A250060 A250061 A250062 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 11 2014 STATUS approved

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Last modified December 9 07:37 EST 2023. Contains 367689 sequences. (Running on oeis4.)