A unified approach to some recurrence sequences via Fa di Brunos formula
The well-known Fa di Bruno formula for higher derivatives of a composite function plays an important role in combinatorics. In this paper we obtain a unified approach to some recurrence sequences for the complete Bell polynomials by using Fa di Brunos formula. Furthermore, we obtain an inverse relation of Lah numbers of two types, and by using this relation we obtain some new and interesting combinatorial identities.
recurrence sequence fa di brunos formula bell polynomial lah number stirling number