Alladi Ramakrishnan Hall

Continued fractions and combinatorial sequences: factorials, Genocchi and median Genocchi numbers

Bishal Deb

University College London

Livestream link: zoom.us/j/91288928049?pwd=WHNaUE9TZEdZWGR3aGNtN2JvWDNtZz09
Password: Macdonald


In a seminal paper in 1980, Flajolet laid out the combinatorial theory of continued fractions where he gave combinatorial interpretations for Stieltjes and Jacobi type continued fractions in terms of Dyck and Motzkin paths, respectively. We shall begin this talk by introducing Flajolet's results. We shall then look at multivariate continued fractions that count permutations with several statistics. Finally, we end this talk by briefly mentioning some ongoing joint work with Alan Sokal on continued fractions for Genocchi and median Genocchi numbers.