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...Australasian journalofcombinatorics volume pages an explicit formula for the inverse of a factorial hankel matrix karen habermann department statistics university warwick coventry cv al united kingdom ac uk abstract we consider n h whose entries are dened by s where k and prove that is invertible all ij i j nbyproviding its introduction fix let be given this denes because entry hij depends only on sum used as test in numerical analysis features gallery ipjfact computation toolbox nicholas higham also see our interest studying due to it arising determining covariance structure iterated kolmogorov diusion brownian motion together with nite number time integrals nd expression bridge associated need invert which particularly requires us therefore both from point view using show obtain use general binomial coecients discussed more detail section research supported german foundation dfg through hausdor center mathematics c issn theauthor australas combin theorem m exists ni particular immedi...