[seqfan] Color and commas
Éric Angelini
eric.angelini at skynet.be
Mon May 18 19:36:45 CEST 2020
Hello SeqFan,
The hereunder seqs were inspired by this one:
https://oeis.org/A197756
Anyway, they are easy to understand:
Here is the Pink Comma sequence and the Light Pink one:
Pink
« Color in pink the commas squeezed between two identical digits. The number of digits between pink commas is given by the sequence itself. This is a permutation of the natural numbers and the lexicographically earliest such sequence. »
P=1,2,3,4,5,6,7,8,19,9,91,101,10,11,12,102,20,13,14,40,15,103,30,16,17,18,80,21,22,31,23,24,25,26,104,41,...
Light pink
« Color in light pink the commas squeezed between two identical digits. The number of terms between light pink commas is given by the sequence itself. This is a permutation of the natural numbers and the lexicographically earliest such sequence. »
Lp=1,2,3,4,5,6,7,8,9,10,11,12,20,13,30,14,15,50,16,17,18,80,19,21,31,22,23,24,25,26,27,28,81,29,31,32,33,40,34,41,100,...
Next are the Gold Comma sequence and the Silver one:
Gold
« Color in gold the commas following a prime term. The number of digits between golden commas is given by the sequence itself. This is a permutation of the natural numbers and the lexicographically earliest such sequence. »
G=1,2,3,4,5,6,8,7,9,101,10,103,12,14,11,15,16,18,13,20,21,107,22,24,25,109,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48,49,50,...
Silver
« Color in silver the commas following a prime term. The number of terms between silver commas is given by the sequence itself. This is a permutation of the natural numbers and the lexicographically earliest such sequence. »
S=1,2,3,4,5,6,8,7,9,10,12,11,14,15,16,18,13,20,21,22,24,25,17,26,27,28,30,32,33,34,19,35,36,38,39,40,42,23,44,...
Next are the Red Comma sequence and the Blue one:
Red
« Color in red the commas following an odd digit. The number of digits between red commas is given by the sequence itself. This is a permutation of the natural numbers and the lexicographically earliest such sequence. »
R=1,3,2,4,5,6,7,8,10,9,12,101,14,16,11,18,20,103,22,24,26,13,28,...
Blue
« Color in blue the commas following an even term. The number of terms between blue commas is given by the sequence itself. This is a permutation of the natural numbers and the lexicographically earliest such sequence. »
B=1,2,4,3,6,5,7,9,8,11,13,10,,15,17,19,21,23,12,25,27,29,31,14,33,...
On my personal blog, the same message, with colored commas:
https://cinquantesignes.blogspot.com/2020/05/yellow-commas-pink-red-blue.html?m=1
Please forgive my handmade typos!
Best,
É.
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