We use a theorem of Loxton and van der Poorten to prove the transcendence of certain real numbers denned by digit patterns. Among the results we prove are the following. If k is an integer at least 2, P is any nonzero pattern of digits base k, and ep(n) € [0, r -1] counts the number of occurrences (mod r) of P in the base k representation of n , then '7(4'°) = J2T=o e p ) (")/ r " i s transcendental except when t = 3 , P = 1 and r = 2 . When (r, k -1) = 1 the linear span of the numbers n(e^)

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... infinite dimension over Q, where P ranges over all patterns base k without leading zeros.