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math.NT2017★ 2 cited
On a family of recurrences that includes the Fibonacci and the Narayana recurrences
Christian Ballot
We survey and prove properties a family of recurrences bears in relation to integer representations, compositions, the Pascal triangle, sums of digits, Nim games and Beatty sequenc…
math.NT2014
The congruence of Wolstenholme and generalized binomial coefficients related to Lucas sequences
Christian Ballot
Using generalized binomial coefficients with respect to fundamental Lucas sequences we establish congruences that generalize the classical congruence of Wolstenholme and other rela…