[seqfan] Re: Sharing no digit business
franktaw at netscape.net
franktaw at netscape.net
Fri Apr 3 16:11:33 CEST 2009
Incidentally, this is an example of a sequence whose initial behavior
is quite different from the limiting behavior. It starts out looking
like most numbers will appear in the sequence; but in fact it has
density 0. It can't include any number that has all nine non-zero
digits, and those have density 1.
The description should say "positive integer", rather than just
"integer". It might also be interesting to look at the zero-based
version of this sequence, starting with a(0) = 1. I think this starts:
1,0,3,2,5,4,7,6,9,8,11,20,13,22,15,23,17,24,19,25,31
Franklin T. Adams-Watters
-----Original Message-----
From: Eric Angelini <Eric.Angelini at kntv.be>
Hello SeqFans,
I'm still in the "Sharing no digit" business... Could
someone please check this seq:
"a(n) shares no digit with the a(n)th term of the sequence"
a(1)=2 -- and to extend the seq, always add the smallest
integer not used so far.
S = 2,1,4,3,6,5,8,7,10,9,12,30,14,20,16,22,18,23,21,31,33,34,...
(a nightmare to do by hand)
Best,
E.
(terms *not* in S are also of interest: 11,13,15,17,19,...)
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