[seqfan] Re: Pi decimals

Eric Angelini Eric.Angelini at kntv.be
Sat May 25 00:03:08 CEST 2013


You are 100% right, Dan, thanks for the correction !
Best,
É.

Propulsé d'un aPhone



Le 24 mai 2013 à 23:16, "DAN_CYN_J" <dan_cyn_j at comcast.net> a écrit :

> 
> 
> Hi Eric, 
> 
> 
> 
> The 8th term (36), I think should be (33)? 
> The way I observe each decimal expansion of pi 
> 
> is just the gap between terms of your sequence +1 
> 
> for each gap. 
> So the sequence should be-- 
> 
> 1, 5,7,12,14,20,30,33,40,46,50,56,65,75,83,93,97,100,104,113... 
> 
> gap between terms = 
> 
> 4,2,5,2,6,10,3,7,6,4,6,9,10,8,10,4,3,4,9... 
> 
> Thus -1 for each term of the gap-- 
> 
> 3,1,4,1,5,9,2,6,5,3,5,8,9,7,9,3,2,3,8... 
> 
> This new corrected sequence coinsides with your formula. 
> 
> a(n+1)- a(n) -1 
> 
>   
> 
> Maybe I am missing something? 
> 
>   
> 
> Cheers, 
> 
>   
> 
> Dan  
> 
> ----- Original Message -----
> 
> 
> 
> 
> From: "Eric Angelini" <Eric.Angelini at kntv.be> 
> To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu> 
> Sent: Friday, May 24, 2013 2:23:23 AM 
> Subject: [seqfan] Pi decimals 
> 
> 
> 
> 
>> Hello SeqFans, 
>> The Pi decimalisation is "simply" obtained by 
>> making a(n+1)-a(n)-1 here: 
>> S=1,5,7,12,14,20,30,36,40,46,55,65,73,83,87,100,... 
>> The seq. is stricly increasing (by construction). 
>> Best, 
>> É. 
> 
> 
> 
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