OFFSET
0,3
COMMENTS
This is an open problem from Martin's "Algebraic Combinatorics" lecture.
LINKS
Tucker J. Ervin, Blake Jackson, Jay Lane, Kyungyong Lee, Son Dang Nguyen, Jack O'Donohue, and Michael Vaughan, Permutations whose reverse shares the same recording tableau in the RS correspondence, Sém. Lothar. Combin. 86 (2022), Art. B86a, 15 pp.
Jeremy L. Martin, Lecture Notes on Algebraic Combinatorics, 2010-2023.
Wikipedia, Robinson-Schensted correspondence.
PROG
(SageMath)
def a(n): return sum(StandardTableaux(T.shape()).cardinality()
for T in StandardTableaux(n) if T == T.evacuation())
print([a(n) for n in range(13)])
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Dang-Son Nguyen, Sep 14 2023
STATUS
approved