William Hobson Mills
Abstract
Open-access reader
+ 1 and y\x 2 + 1 if and only if x and y are consecutive elements of the sequence 1, 1, 2, 5, 13, 34, obtained from the classical Fibonacci sequence by striking out alternate terms.For a = ± 2, the chief differences are that there is an infinite number of sequences and that 0 can be a term of a sequence.
OpenAlex reports 33 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
+ 1 and y\x 2 + 1 if and only if x and y are consecutive elements of the sequence 1, 1, 2, 5, 13, 34, obtained from the classical Fibonacci sequence by striking out alternate terms.For a = ± 2, the chief differences are that there is an infinite number of sequences and that 0 can be a term of a sequence.
Key concepts: Diophantine equation, Mathematics, Diophantine set, Quadratic equation, Diophantine geometry, Applied mathematics, Legendre's equation, Solving quadratic equations with continued fractions