Definition:Millin Series/Historical Note
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Historical Note on Millin Series
The series which is now known as the Millin series appeared as a puzzle problem in The Fibonacci Quarterly in $1974$ under the byline D.A. Millin, identified as a high school student in Pennsylvania, US.
Millin was in fact a misprint for D.A. Miller, under which name the solution was published.
An outline by Irving John Good of a solution appeared in the following issue.
A full solution by Anthony Greville Shannon was published two years later in The Fibonacci Quarterly, and in that issue, Miller's name was reported correctly as D. A. Miller.
The identity was published on the Mathworld website under the name Millin series, from which it has since been further propagated.
Sources
- 1974: D.A. Millin: Advanced Problems and Solutions: H-237 (Fibonacci Quart. Vol. 12, no. 3: p. 309)
- 1974: I.J. Good: A Reciprocal Series of Fibonacci Numbers (Fibonacci Quart. Vol. 12, no. 4: p. 346)
- 1976: A.G. Shannon: Advanced Problems and Solutions: Sum Reciprocal! (Fibonacci Quart. Vol. 14, no. 2: pp. 186 – 187)
- Weisstein, Eric W. "Millin Series." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MillinSeries.html