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 A229717 T(n,k) = number of arrays of length n that are sums of k consecutive elements of length n+k-1 permutations of 0..n+k-2, and no two consecutive rises or falls in the latter permutation. 11
 1, 1, 2, 1, 4, 4, 1, 8, 6, 10, 1, 18, 28, 32, 32, 1, 26, 76, 82, 86, 122, 1, 40, 256, 436, 500, 544, 544, 1, 52, 374, 1906, 1152, 2740, 2194, 2770, 1, 70, 948, 4564, 9136, 13520, 15040, 15872, 15872, 1, 86, 1024, 13232, 44372, 35724, 85480, 100630, 86642, 101042 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS R. H. Hardin, Table of n, a(n) for n = 1..94 EXAMPLE Some solutions for n=4, k=4: 11 10 8 17 12 8 11 7 7 10 10 16 9 16 14 16 13 11 9 14 10 11 14 11 9 12 9 15 8 14 13 13 12 13 12 11 8 15 15 14 13 14 10 14 10 12 11 9 13 17 17 9 10 18 14 15 18 17 14 11 12 10 12 6 Table starts .....1.....1......1.......1........1........1........1.......1......1.....1 .....2.....4......8......18.......26.......40.......52......70.....86...108 .....4.....6.....28......76......256......374......948....1024...2264..2166 ....10....32.....82.....436.....1906.....4564....13232...18336..43654.50284 ....32....86....500....1152.....9136....44372...157194..326476.788998 ...122...544...2740...13520....35724...392496..1924422.5979128 ...544..2194..15040...85480...496576..1323380.14708704 ..2770.15872.100630..676984..4639260.29525240 .15872.86642.704000.4504872.42139184 CROSSREFS Column 1 is A001250. Sequence in context: A138177 A101559 A220537 * A122438 A350122 A156708 Adjacent sequences: A229714 A229715 A229716 * A229718 A229719 A229720 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Sep 27 2013 STATUS approved

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Last modified September 26 17:04 EDT 2023. Contains 365665 sequences. (Running on oeis4.)