Generating functions and generalized alternating subsets

DOI10.1016/0012-365X(75)90086-2zbMath0309.05006MaRDI QIDQ1218860

Stephen M. Tanny

Publication date: 1975

Published in: Discrete Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05)

Related Items

Set partitions and parity successions, Set partitions with circular successions, Counting inversion sequences by parity successions and runs, Combinatorial identities for restricted set partitions, Parity successions in set partitions, Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope, Alternating sequences, Enumeration of alternating sequences, The enumeration of generalised alternating subsets with congruences, A Formal Calculus for the Enumerative System of Sequences-I. Combinatorial Theorems, A Formal Calculus for the Enumerative System of Sequences-II. Applications, A Formal Calculus for the Enumerative System of Sequences-III. Further Developments

Cites Work

• A generalization of the arithmetic-geometric mean inequality and an application to finite sequences of zeros and ones
• A Functional Equation in Arithmetic
• Postulational Bases for the Umbral Calculus
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