OFFSET
2,2
COMMENTS
Maximum value of S_w(1,1,...,1), where S_w is the Schubert polynomial of the permutation w of 1,2,...,n.
LINKS
David Anderson, Greta Panova, and Leonid Petrov, Computation and sampling for Schubert specializations, arXiv:2603.20104 [math.CO], 2026. See pp. 4, 12.
Grigory Merzon and Evgeny Smirnov, Determinantal identities for flagged Schur and Schubert polynomials, arxiv:1410.6857 [math.CO], 2014; Europ. J. Math. 2 (2016), 227-245.
Alejandro H. Morales, Igor Pak, and Greta Panova, Asymptotics of principal evaluations of Schubert polynomials for layered permutations, arXiv:1805.04341 [math.CO], 2018; Proceedings of the American Mathematical Society, Vol 147 1377-1389, 2019.
Richard P. Stanley, Some Schubert shenanigans, arXiv:1704.00851 [math.CO], 2017.
EXAMPLE
S_{1327654}(1,1,1,1,1,1)=660, and every other permutation w of 1,...,7 gives a smaller value.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Richard Stanley, Mar 31 2017
EXTENSIONS
a(11)-a(12) from David E. Anderson, Feb 10 2025
STATUS
approved
