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3
votes
The number of boolean function with given Fourier degree
I wrote a Mathematica code snippet to count for cases of small $n$ and $d$.
n = 2;
inputWords = Tuples[{-1, 1}, n];
outputResults = Tuples[{-1, 1}, 2^n];
expr = {Product[1/2 (1 + Subscript[a, i] Subsc …
1
vote
Some ideas about parking functions and integer partitions
(1). Can we study the enumeration of separated parking functions with type $\lambda$? And how?
Clear["Global`*"];
NonAdjacentDuplicatesQ[p_List] :=
Module[{counts, duplicates, positions},
cou …
0
votes
Looking for q-analog of derangement anagrams for a word
Use $\textbf{Theorem 1.1}$ from [1],
The linearization coefficients of q-Laguerre polynomials are given by
$$
\mathcal{L}\left(L_{n_1}(x ; q, y) \cdots L_{n_k}(x ; q, y)\right)=\sum_{\sigma \in \math …
1
vote
1
answer
208
views
Looking for q-analog of derangement anagrams for a word
I have already known QPermutationDerangement:
It describes the distribution
$$
d_n(q)=\sum_{\sigma \in D_n} q^{\operatorname{maj}(\sigma)}
$$
Where we sum over all derangements of an $n$ element set.
…