Written: May 2025

Last update: May 20, 2025

Maple package

• TruncSYT.txt, a Maple package to experiment with truncated standard Young tableaux

Sample Input and Output for TruncSYT.txt

• If you want to see explicit expressions for the number of 3-rowed truncated Young tableaux of shape [n,n+a1,n+a2], for 0≤a1≤a2≤5 divided by the number of SYT of shaper [n,n,n]
  the input file yields the output file

• If you want to see explicit expressions for the number of 4-rowed truncated Young tableaux of shape [n,n+a1,n+a2,n+a3], for 0≤a1≤a2≤ ≤ a3 ≤ 5, divided by the number of SYT of shaper [n,n,n,n]
  the input file yields the output file

• If you want to see explicit expressions for the number of 5-rowed truncated Young tableaux of shape [n,n+a1,n+a2,n+a3,n+a4], for 0≤a1≤a2≤ ≤ a3 ≤a4 ≤ 5 , divided by the number of SYT of shaper [n,n,n,n,n]
  the input file yields the output file

• If you want to see explicit expressions for the number of 6-rowed truncated Young tableaux of shape [n,n+a1,n+a2,n+a3,n+a4,n+a5], for 0≤a1≤a2≤ ≤ a3 ≤ a4 ≤ a5 ≤ 2, divided by the number of syt of shaper [n,n,n,n,n,n]
  the input file yields the output file

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