## Abstract

We investigate norms related to the vectors h n =(h n (k)) k ∈ℕ in ℝℕ (or ℂℕ) (n∈ℕ) where

hn(k)=n!kk+1(k+n)=1kn+kn

We estimate, and in a few cases even calculate, the norms of the h n ’s as elements of the usual sequence spaces ℓ r . We also show that for ‘almost all’ p, q the matrix with entries h n (k) defines a bounded linear operator from ℓ p into ℓ q , with rather strong compactness properties.