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From: HenHanna <HenHanna@devnull.tb>
Newsgroups: rec.puzzles,sci.lang,sci.math
Subject: Re: The "Strand" puzzle --- ( Continued Fractions using Lisp or
 Python? )
Date: Tue, 30 Jul 2024 22:27:23 -0700
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On 7/30/2024 2:38 PM, IlanMayer wrote:
> On Mon, 29 Jul 2024 18:58:21 +0000, HenHanna wrote:
> 
>>
>>
>> On 7/26/2024 5:37 AM, IlanMayer wrote:
>>> On Thu, 25 Jul 2024 19:07:56 +0000, HenHanna wrote:
>>>
>>>>
>>>> e.g. -------- For the (street)  Numbers (1,2,3,4,5,6,7,8)
>>>>
>>>>                          (1,2,3,4,5)  and  (7,8)  both add up to 15.
>>>>
>>>>
>>>>
>>>> “In a given street of houses with consecutive numbers between 50 and
>>>> 500, find the house number, for which, the sum of numbers on the 
>>>> left is
>>>> equal to the sum of numbers on the right”
>>>>
>>>>
>>>>
>>>>   Ramanujan and Strand Puzzle
>>>>
>>>>             this was a very interesting puzzle tackled by the genius
>>>> Srinivasa Ramanujan.        In the year 1914, P.C. Mahalanobis, a Kings
>>>> college student in England, got hold of a puzzle from the Strand
>>>> magazine.
>>>
>>> Solution found at:
>>> https://ubpdqnmathematica.wordpress.com/2021/12/05/ramanujan-and- 
>>> strand-puzzle/
>>
>>
>> thanks!
>>
>>
>>
>>  >>>    So the solutions to the Strand puzzle can be found from the
>> continued fraction of \sqrt{2}, which  _is_  satisfying simple.
>>
>>
>>  >>>   Using Mathematica to look at the first 10 convergents
>>
>>
>> ---------- is this (also) easy to do using Lisp or Python???
> 
> This can be done with Python:
> 
> N = 10
> a = 1
> b = 1
> print(str(a) + "/" + str(b))
> for n in range(N):
>     temp = a + 2 * b
>     b = a + b
>     a = temp
>     print(str(a) + "/" + str(b))


thanks!  i've been reading about Ramanujan for 30+ years
         and a few days ago, i watched a clip by Cindy Pom that
              taught me a few new  key things... like ...
               He was married to a young girl when he moved to England.

             He didn't want to travel to England because...........

______________
in Ramanujan's  1st letter to Hardy

                1-2+3-4+5-6= ............

Are there just 4 formulas like this?     Or are there dozens more?