Sequential properties over negative Pauli Pascal table (Q2224703)

Summary: For polynomials \((x+y)^i\) and \((x+y)^{- i}\) satisfying the noncommutative multiplication \(yx=-xy\), let \(C^{(-1)}\) and \(N^{(-1)}\) be the arithmetic tables, respectively. We investigate sequential properties of various diagonal sums over the tables \(C^{(-1)}\) and \(N^{(-1)}\) and prove that they are types of interlocked Fibonacci sequence and Padovan sequence.