Despite their entirely different origins, the entries of Pascal trapezoids are closely related to Wigner numbers. In this paper, we bridge both approaches, rediscover recurrences using alternative techniques, and establish new combinatorial identities.

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Pascal Trapezoids as Wigner Numbers and Some Combinatorial Properties

  • Isabel Cação,
  • M. Irene Falcão,
  • Helmuth R. Malonek,
  • Graça Tomaz

摘要

Despite their entirely different origins, the entries of Pascal trapezoids are closely related to Wigner numbers. In this paper, we bridge both approaches, rediscover recurrences using alternative techniques, and establish new combinatorial identities.