Journal of Integer Sequences, Vol. 17 (2014), Article 14.8.2

A New Kind of Fibonacci-Like Sequence of Composite Numbers

Dan Ismailescu
Department of Mathematics
Hofstra University
103 Hofstra University
Hempstead, NY 11549

Jaesung Son
Ridgewood High School
627 East Ridgewood Avenue
Ridgewood, NJ 07450


An integer sequence (xn)n≥0 is said to be Fibonacci-like if it satisfies the binary recurrence relation xn = xn−1 + xn−2, n ≥ 2. We construct a new type of Fibonacci-like sequence of composite numbers.

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(Concerned with sequences A082411 A083103 A083104 A083105 A083216 A221286.)

Received March 24 2014; revised version received July 8 2014; July 21 2014. Published in Journal of Integer Sequences, July 25 2014.

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