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In this paper we study properties of numbers $K_n^l$ of connected componentsof bifurcation diagrams for multiboundary singularities $B_n^l$. These numbersgeneralize classic Bernoulli-Euler numbers. We prove a recurrent relation onthe numbers $K_n^l$. As it was known before, $K^1_n$ is $(n{+}1)$-thBernoulli-Euler number, this gives us a necessary boundary condition tocalculate $K_n^l$. We also find the generating functions for $K_n^l$ with smallfixed $l$ and write partial differential equations for the general case. Therecurrent relations lead to numerous relations between Bernoulli-Euler numbers.We show them in the last section of the paper.

Bernoulli-Euler numbers and multiboundary singularities of type $B_n^l$