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Romano, PK and McLaughlin, H (2011)

On non-linear recursive sequences and Benfordís Law

Fibonacci Quarterly 49(2), pp. 134Ė138.

ISSN/ISBN: Not available at this time. DOI: Not available at this time.



Abstract: A large class of deterministic sequences are known to obey Benfordís law. Recall that a sequence {xn} obeys Benfordís law if and only if log10 |xn| (mod 1) is uniformly distributed. It is proved herein that a particular class of sequences defined by multiplicative recursions obey Benfordís law. This includes the three-term multiplicative Fibonacci sequence defined by xn = xn−1 ∑ xn−2.


Bibtex:
@article {, AUTHOR = {Romano, Paul K. and {McLaughlin}, Harry}, TITLE = {On non-linear recursive sequences and Benfordís Law}, JOURNAL = {Fibonacci Quarterly}, YEAR = {2011}, VOLUME = {49}, NUMBER = {2}, PAGES = {134Ė-138}, URL = {https://www.fq.math.ca/Papers1/49-2/RomanoMcLaughlin.pdf}, }


Reference Type: Journal Article

Subject Area(s): Number Theory