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1 vote
0 answers
43 views

Systematic vertex information about finite Young's lattice

Suppose that I have Young's lattice $Y_{\mu}$ (finite sublattice for everything included in $\mu$). See the red area in the linked picture I found online where $\mu=[22]$ and note that the arrows ...
DiosMio's user avatar
  • 21
1 vote
1 answer
77 views

Generating functions (with symbol method) of special partitions of natural numbers

I want to show that the generating function of the number of partitions where every summand appears at most twice of every natural number n equals the number of paritions of n into summands which are ...
Studentu's user avatar
  • 599
3 votes
2 answers
483 views

Solving combinatorial problems with symbolic method and generating functions

I am trying to solve the following problems: a) Let $\mathcal{F}$ be the family of all finite 0-1-sequences that have no 1s directly behind each other. Let the weight of each sequence be its length. ...
Studentu's user avatar
  • 599