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A338368
Triangle of number of 312-avoiding reduced valid hook configurations with n hooks that are on permutations with 2n + k points, for n=1 and 1<=k<=n.
0
1, 3, 5, 14, 51, 42, 84, 485, 849, 462, 594, 4743, 13004, 14819, 6006, 4719, 48309, 182311, 322789, 271452, 87516, 40898, 511607, 2472322, 5999489, 7794646, 5182011, 13856
OFFSET
1,2
LINKS
Ilani Axelrod-Freed, 312-Avoiding Reduced Valid Hook Configurations and Duck Words, arXiv:2010.11834 [math.CO], 2020.
Maya Sankar, Further Bijections to Pattern-Avoiding Valid Hook Configurations, arXiv:1910.08895 [math.CO], 2019.
EXAMPLE
Triangle begins
1
3 5
14 51 42
84 485 849 462
594 4743 13004 14819 6006
4719 48309 182311 322789 271452 87516
40898 511607 2472322 5999489 7794646 5182011 13856
CROSSREFS
Cf. A005700 (1st column), A005789 (right diagonal).
Sequence in context: A006395 A078718 A081393 * A129326 A167553 A370612
KEYWORD
nonn,tabl,more
AUTHOR
Michel Marcus, Oct 23 2020
STATUS
approved