A338368 - OEIS

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.

%I #5 Oct 23 2020 06:18:13

%S 1,3,5,14,51,42,84,485,849,462,594,4743,13004,14819,6006,4719,48309,

%T 182311,322789,271452,87516,40898,511607,2472322,5999489,7794646,

%U 5182011,13856

%N 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.

%H Ilani Axelrod-Freed, <a href="https://arxiv.org/abs/2010.11834">312-Avoiding Reduced Valid Hook Configurations and Duck Words</a>, arXiv:2010.11834 [math.CO], 2020.

%H Maya Sankar, <a href="https://arxiv.org/abs/1910.08895">Further Bijections to Pattern-Avoiding Valid Hook Configurations</a>, arXiv:1910.08895 [math.CO], 2019.

%e Triangle begins

%e 1

%e 3 5

%e 14 51 42

%e 84 485 849 462

%e 594 4743 13004 14819 6006

%e 4719 48309 182311 322789 271452 87516

%e 40898 511607 2472322 5999489 7794646 5182011 13856

%Y Cf. A005700 (1st column), A005789 (right diagonal).

%K nonn,tabl,more

%O 1,2

%A _Michel Marcus_, Oct 23 2020