Shifted Hankel determinants of Catalan numbers and related results II: Backward shifts (2306.07733v1)

Abstract: By prepending zeros to a given sequence Hankel determinants of backward shifts of this sequence become meaningful. We obtain some results for the sequences of Catalan numbers and of some numbers and polynomials which are related to Catalan numbers and propose conjectures for sequences of convolution powers of Catalan numbers.