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A279562 Number of length n inversion sequences avoiding the patterns 100, 102, and 201. 22
1, 1, 2, 6, 21, 78, 299, 1176, 4729, 19378, 80667, 340260, 1451277, 6248758, 27124703, 118576648, 521574769, 2306766426 (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<j<k) such that e_i > e_j <= e_k and e_i <> e_k. This is the same as the set of length n inversion sequences avoiding 100, 102, and 201.

LINKS

Table of n, a(n) for n=0..17.

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 4 inversion sequences avoiding (100, 102, 201) are 0000, 0001, 0002, 0003, 0010, 0011, 0012, 0013, 0020, 0021, 0022, 0023, 0101, 0110, 0111, 0112, 0113, 0120, 0121, 0122, 0123.

CROSSREFS

Cf. A000108, A057552, A263777, A263778, A263779, A263780, A279551, A279552, A279553, A279554, A279555, A279556, A279557, A279558, A279559, A279560, A279561, A279563, A279564, A279565, A279566, A279567, A279568, A279569, A279570, A279571, A279572, A279573.

Sequence in context: A129775 A235391 A254316 * A054515 A216490 A150190

Adjacent sequences:  A279559 A279560 A279561 * A279563 A279564 A279565

KEYWORD

nonn,more

AUTHOR

Megan A. Martinez, Feb 09 2017

EXTENSIONS

a(10)-a(12) from Alois P. Heinz, Feb 24 2017

a(13)-a(17) from Bert Dobbelaere, Dec 30 2018

STATUS

approved

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Last modified February 24 09:40 EST 2020. Contains 332209 sequences. (Running on oeis4.)