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2 votes
2 answers
174 views

Number of ways to complete a partial Young tableau

Suppose we have a Young tableau with missing entries. Then there can be many number of ways we can complete the Young Tableau. Is there any specific method to find the number of ways we can complete a ...
user5210's user avatar
  • 399
2 votes
1 answer
371 views

Proof of an integer partitions inequality

I came across an interesting problem the other day. Let $P_n$ be the number of partitions of a positive integer $n$. For instance $P_4$ = $5$, as there are five ways of partitioning $4$: $4$ $3+1$ $...
shooqie's user avatar
  • 233
1 vote
3 answers
128 views

Partitioning a sequence of characters into groups of $3$ or $4$

I have some computer code that outputs character sequences of various lengths. For readability, I would like to format output sequences as groups of $3$ or $4$ characters. Examples: The sequence <...
Tomas Langkaas's user avatar