Enumerative and Structural Aspects Of Anagrams Without Fixed Letters

Kiril Bangachev

For the word $\omega =\underset{x_1}{\underbrace{11\dots 1}}\underset{x_2}{\underbrace{22\dots 2}}\dots \underset{x_n}{\underbrace{nn\dots n}},$ denote by $\mathsf{A}(x_1,x_2,\dots ,x_n)$ the number of its anag…