On a Recursively Defined Sequence Involving the Prime Counting Function

Altug Alkan, Andrew R Booker, Florian Luca

Research output: Contribution to journalArticle (Academic Journal)peer-review

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Abstract

We prove some properties of sequence A335294 from the On-Line Encyclopedia of
Integer Sequences, defined by an = π(n) − π Pn−1 k=1 ak, where π(x) is the number of primes ≤ x. In particular we show that the sequence (an)
assumes every non-negative integral value infinitely often.
Original languageEnglish
Article number21.3.1
Number of pages18
JournalJournal of Integer Sequences
Volume24
Publication statusPublished - 31 Jan 2021

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