# [seqfan] Re: Pi decimals

DAN_CYN_J dan_cyn_j at comcast.net
Fri May 24 20:17:15 CEST 2013

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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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