[seqfan] Re: Pi decimals

[DAN_CYN_J]

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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