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From: ilan_no_spew@hotmail.com (IlanMayer)
Newsgroups: rec.puzzles
Subject: Re: The "Strand" puzzle --- ( Continued Fractions using Lisp or
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Date: Tue, 30 Jul 2024 21:38:49 +0000
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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))