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 A279556 Number of length n inversion sequences avoiding the patterns 010, 110, and 120. 22
 1, 1, 2, 5, 15, 51, 190, 759, 3206, 14180, 65203, 309998, 1517330, 7619541, 39145113, 205261890, 1096393056 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS A length n inversion sequence e_1e_2...e_n is a sequence of integers where 0 <= e_i <= i-1. The term a(n) counts those length n inversion sequences with no entries e_i, e_j, e_k (where i e_k and e_i >= e_k. This is the same as the set of length n inversion sequences avoiding 010, 110, and 120. LINKS Megan A. Martinez, Carla D. Savage, Patterns in Inversion Sequences II: Inversion Sequences Avoiding Triples of Relations, arXiv:1609.08106 [math.CO], 2016-2018. EXAMPLE The length 3 inversion sequences avoiding (010, 110, 120) are 000, 001, 002, 011, 012 The length 4 inversion sequences avoiding (010, 110, 120) are 0000, 0001, 0002, 0003, 0011, 0012, 0013, 0021, 0022, 0023, 0111, 0112, 0113, 0122, 0123. CROSSREFS Cf. A263777, A263778, A263779, A263780, A279551, A279552, A279553, A279554, A279555, A279557, A279558, A279559, A279560, A279561, A279562, A279563, A279564, A279565, A279566, A279567, A279568, A279569, A279570, A279571, A279572, A279573. Sequence in context: A279555 A153197 A299968 * A108307 A275605 A193296 Adjacent sequences:  A279553 A279554 A279555 * A279557 A279558 A279559 KEYWORD nonn,more AUTHOR Megan A. Martinez, Dec 16 2016 EXTENSIONS a(10)-a(11) from Alois P. Heinz, Feb 24 2017 a(12)-a(16) from Bert Dobbelaere, Dec 30 2018 STATUS approved

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Last modified January 20 14:26 EST 2020. Contains 331094 sequences. (Running on oeis4.)