On Some Sequences Defined by Recurrence Relations of Increasing Length

摘要

Convexity properties of the sequence (s sub n) n = zero to infinity, defined by s sub zero: = 1 and the recurrence relation s sub n = (s sub zero (n))/alpha + s sub 1 (n-1)/alpha + ... + sub (n-2) 2/alpha + s sub (n-1), n (CH 110) zero, in which alpha is any positive constant, are discussed.