On digit expansions with respect to linear recurrences

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Abstract

An explicit formula for the mean value of the sum-of-digits function with respect to linear recurring sequences is established. Thus a recent paper of J. Coquet and P. Van Den Bosch on the Fibonacci number system is extended to the general case. © 1989.

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Pethö, A., & Tichy, R. R. F. (1989). On digit expansions with respect to linear recurrences. Journal of Number Theory, 33(2), 243–256. https://doi.org/10.1016/0022-314X(89)90011-5

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