Some recurrence relations for Cauchy numbers of the first kind.

Liu, Hong-Mei; Qi, Shu-Hua; Ding, Shu-Yan

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Let b ≥ 2 be a fixed positive integer. We show for a wide variety of sequences {a n}n=1∞ that for almost all n the sum of digits of a n in base b is at least c b log n, where c b is a constant depending on b and on the sequence. Our approach covers several integer sequences arising from number theory and combinatorics.