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The Millin series is defined as:

$$\sum_{n \mathop = 0}^\infty \frac 1 {F_{2^n} }$$

where $F_n$ denotes the $n$th Fibonacci number.

It can be shown to equal $\dfrac {7 - \sqrt 5} 2$.

But who was the D.A. Millin who it is named after?

EDIT: User https://hsm.stackexchange.com/users/16591/michael has located the issue of FQ in which Millin's name originally appears, where he was identified as a Pennsylvanian high-school student in 1974.

Further to this, I have found that the solution appeared in FQ issue Vol. 14 no. 2 (1976), but in this case his name appears as D.A. Miller.

The question arises as to whether Millin might have been a misprint. If his name truly is "Miller", then his precise identity may be very difficult to track down. There is a professor in Virginia with that name, but he appears a couple of decades too young.

Whoever he is, he may well be currently active.

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    $\begingroup$ I am ashamed to have used "his" and "he" in the above, as in a different context (on a different site on the same topic) I was careful to include "or her" and "or she". Incidentally I have found a "D.A. Millin" on the web with a contact number in Houston, Texas who I may try to contact at some stage. According to what I can find out he (and it is "he") appears to be in an appropriately technical career, and has a chronology which is feasible. $\endgroup$ May 6 at 11:37
  • $\begingroup$ let us know what you find (presuming they are amenable as well)! $\endgroup$
    – Jon Custer
    May 9 at 20:56

1 Answer 1

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The furthest back I came is this 1974 article from The Fibonacci Quarterly 12, No. 3.

Extract: enter image description here

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