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Numbers m such that there are an equal number of numbers <= m that are contained and that are not contained in the concatenation of terms <= m in A048991.
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%I #10 Jul 19 2016 11:04:54

%S 740,1260,1262,5230,15804,15814,15816,36294,194876,213868

%N Numbers m such that there are an equal number of numbers <= m that are contained and that are not contained in the concatenation of terms <= m in A048991.

%C A105390(a(n)) = a(n)/2.

%C There are no other terms <= 600000. The plots in a105390.gif strongly suggest that the sequence is complete. - _Klaus Brockhaus_, Aug 15 2007

%H Nick Hobson, <a href="/A105391/a105391.py.txt">Python program for this sequence</a>

%e A105390(n) < n/2 for n < a(1)=740;

%e A105390(n) > n/2 for n with 740 < n < a(2)=1260;

%e A105390(1261)=631, A105390(a(3))=A105390(1262)=631;

%e A105390(n) < n/2 for n with 1262 < n < a(4)=5230;

%e A105390(n) > n/2 for n with 5230 < n < a(5)=15804;

%e A105390(n) < n/2 for n with 15804 < n < a(6)=15814;

%e A105390(15815)=7908, A105390(a(7))=A105390(15816)=7909;

%e A105390(n) < n/2 for n with 15816 < n < a(8)=36294;

%e A105390(n) > n/2 for n with 36294 < n < a(9)=194876; etc.

%o (JBASIC)

%o s$ = "" : c = 0 : d = 0

%o FOR n = 1 TO 40000

%o sn$ = str$(n)

%o IF instr(s$, sn$) > 0 THEN d = d+1 ELSE c = c+1 : s$ = s$ + sn$

%o IF c = d THEN print n ; "," ;

%o NEXT ' _Klaus Brockhaus_, Aug 15 2007

%Y Cf. A048991, A048992, A105390, A131982 (numbers n such that A131981(n) = n/2).

%K nonn,base,more

%O 1,1

%A _Reinhard Zumkeller_, Apr 04 2005