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.
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
Examples
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
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.