[seqfan] n = a(n) - [rightmost digit of a(n+1)]
Eric Angelini
Eric.Angelini at kntv.be
Fri Nov 7 00:12:01 CET 2014
Hello SeqFans, (last post for now,
couldn't resist because of the apparently
cahotic behaviour of the seq):
n = a(n) - [rightmost digit of a(n+1)]
D = 2,11,9,6,12,7,11,14,16,17,17,16,14,
21,17,22,26,19,21,22,22,31,29,26,
32,27,31,34,36,37,37,36,34,41,37,42,
46,39,41,...
The successive "gaps" are 1,2,3,4,5,6,7,8,9,10,11...
A "gap" is the difference between
an integer and the LAST digit of the
next integer:
2-11 gap 1 = (2-1)
11-9 gap 2 = (11-9)
9-6 gap 3
6-12 gap 4 = (6-2)
12-7 gap 5 = (12-7)
7-11 gap 6 = (7-1)
11-14 gap 7 = (11-4)
etc.
I hope D is the lexico-first such
sequence -- can't prove though D
won't stop somewhere...
Best,
É.
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