[seqfan] Last digit is the difference
Eric Angelini
Eric.Angelini at kntv.be
Mon Jan 20 13:05:17 CET 2014
Hello Seqfans,
My friend Jean-Marc Falcoz has computed 10 000 terms of the hereunder
sequence -- see the 10 000 terms and a (nice) graph there:
http://www.cetteadressecomportecinquantesignes.com/LastDigitIsDiff.htm
> a(n) is the smallest integer not yet present in the sequence that has
two digits whose difference is the last digit of a(n-1); a(1) = 1.
S = 1, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 90, 22,...
Example:
10 is the smallest integer not yet present in S that has two digits (1 and 0)
whose difference (1) is the last digit of the previous term (1);
11 is the smallest integer not yet present in S that has two digits (1 and 1)
whose difference (0) is the last digit of the previous term (0);
12 is the smallest integer not yet present in S that has two digits (1 and 2)
whose difference (1) is the last digit of the previous term (1);
...
90 is the smallest integer not yet present in S that has two digits (9 and 0)
whose difference (9) is the last digit of the previous term (9); etc.
Best,
É.
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