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The a(n)th term of the sequence contains at least one digit "1".
0

%I #8 Aug 03 2016 09:04:50

%S 1,3,10,5,11,7,12,9,13,14,15,16,17,18,19,21,31,41,51,22,61,71,24,81,

%T 26,91,28,100,30,101,102,33,103,35,104,37,105,39,106,42,107,108,44,

%U 109,46,110,48,111,50,112,113,53,114,55,115,57,116,59,117,62,118,119,64,120,66,121,68,122,70,123,124,73,125,75,126,77,127,79,128,82,130,131,84

%N The a(n)th term of the sequence contains at least one digit "1".

%C The sequence starts with a(1)=1 and was always extended with the smallest integer not yet used that does not lead to a contradiction.

%e The 1st term (1) says that the 1st term contains at least a "1" -- indeed (it is 1)

%e The next term (3) says that the 3rd term contains at least a "1" -- indeed (it is 10)

%e The next term (10) says that the 10th term contains at least a "1" -- indeed (it is 14)

%e The next term (5) says that the 5th term contains at least a "1" -- indeed (it is 11)

%e The next term (11) says that the 11th term contains at least a "1" -- indeed (it is 15)

%e The next term (7) says that the 7th term contains at least a "1" -- indeed (it is 12)

%e etc.

%K nonn,base

%O 1,2

%A _Eric Angelini_, Jul 31 2016