# [seqfan] Re: Sequence of the Day for April Fools'

Robert Munafo mrob27 at gmail.com
Thu Mar 15 20:49:37 CET 2012

```A virtually identical "sequence" appears on page 31 of Sloane's original
book [1]. An image is here:
mrob.com/pub/math/images/HIS-reflect-puzzle.jpgand the accompanying
text spoiled the puzzle by telling the answer.

In my opinion, this makes it not nearly foolish enough for an April Fool's
(-:

I counter with my own proposal, written in the original OEIS syntax for
nostalgic effect (it was found in a lost notebook of Dr. Matrix from 1979):

%S 3,1,4,1,5,9,2,6
%N Decimal expansion of the limit of the iteration: x -> sqrt(sqrt(exp
6/(x+1)))
%e Starting with an initial value x=2, the first iteration of the function
is sqrt(sqrt(e^6/3))=3.4053472... Using this value for x, the next
iteration is sqrt(sqrt(e^6/4.4053472...))=3.0934755... Continue
indefinitely.
%K cons,nonn,more
%O 1,1
%A Irving J. Matrix

On Wed, Mar 14, 2012 at 20:34, Alonso Del Arte <alonso.delarte at gmail.com>wrote:

> What y'all think of this draft for the Sequence of the Day on April 1?
>
> http://oeis.org/wiki/Template:Sequence_of_the_Day_for_April_1
>
> Al
>

[1] Sloane, Neil James Alexander, 1939-
A handbook of integer sequences [by] N. J. A. Sloane
Bibliography: p. 187-197.
1. Sequences (Mathematics)  2. Numbers, Natural.
ISBN: 012648550X
QA292 .S58   [LC]

--
Robert Munafo  --  mrob.com