[math-fun] Sum of last ten digits

[Alexandre Wajnberg]

De : Graeme McRae <g_m at mcraefamily.com>
Date : Thu, 8 Dec 2005 07:47:23 -0800

Searching randomly, I found that:
A loop of length 8 is possible, starting at 0, 6, 1, 8, 7, 8, 6, 6, 3, 0.
A loop of length 24 is possible, starting at 0, 4, 2, 1, 9, 7, 1, 7, 7, 4.
A loop of length 26 is possible, starting at 2, 3, 2, 7, 0, 9, 8, 7, 8, 4.
A loop of length 78 is possible, starting at 2, 2, 5, 2, 6, 0, 3, 8, 5, 7.
--Graeme
>  
> 
> 
> The nine sequences (beginning with ...0 1; ...2; 9) involve digits in their
> construction and our loops are made of terms (numbers).
> 
> I tried your digit-propositions without success, no "digit loops" hidden
> inside.
> I did this way: 
> -pasting the nine complete sequences (the beginning + the first loop + the ten
> first terms of the second loop) on a new page of my "word" program;
> -compacting them (removing all the "blanks" and the ",")
> -compacting the same way your ten digits propositions;
> -searching, using the "find" function of my "word" program.
> I found only my control.
> So I don't understand. May be I miss a point?
> Are you shure of your finding? Or of your sequences?
> I send you separately our complete sequences.
> Thank you for your interest.
> 
> Alexandre
>  

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