[seqfan] A Pi-day self-chunking sequence
Eric Angelini
Eric.Angelini at kntv.be
Mon Mar 14 16:21:23 CET 2011
Hello Seqfans,
[crossposted to oulipo at quatramaran dot ens dot fr]
3.141592653589793238462643383279502884197169399375105820974944...
P = 2,3,4,5,1,6,7,8,14,9,20,22,23,21,15,10,11,12,13,16,19,17,18,30,31,33,34,32,24,25,27,28,29,35,37,26,36,38,39,40,41,42,43,44,46,47,48,49,60,45,50,51,52,54,55,56,57,58,53,59,...
Read P from left to right:
P = 2,3,4,5,1,6,7,8,14,9,20,22,23,21,15,10,11,12,13,16,19,17,
Stop immediately when you bump into the first digit of Pi:
P = 2,3
Put a vertical stroke behind the said digit:
P = 2,3|
Proceed reading from there, and stop again when you bump
into the next digit of Pi - drawing another vertical stroke
accordingly:
P = 2,3|,4,5,1|
Go on like this - drawing a stroke every time you bump into
"the next digit of Pi":
P = 2,3|,4,5,1|,6,7,8,14|,9,20,22,23,21|,15|,10,11,12,13,16,19|,17...
The size of each chunk is given by P itself:
P = 2,3|,4,5,1|,6,7,8,14|,9,20,22,23,21|,15|,10,11,12,13,16,19|,17...
2 3 4 5 1 6
(the size of a chunk is the amount of integers it contains)
P is (by construction), a permutation of N (as we "always use
the smallest integer not yet present in P and not leading to
a contradiction")
P was computed by hand after a lot of tries - I hope I didn't
leave too many errors...
Best Pi-day,
É.
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