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A walk based on the digits of Champernowne constant C (A033307).
0

%I #4 Nov 25 2013 12:11:30

%S 0,1,2,3,4,5,6,7,8,9,8,7,6,5,4,3,2,1,0,1,1,1,2,1,2,3,2,1,2,3,4,3,2,1,

%T 2,3,4,5,4,3,2,1,2,3,4,5,6,5,4,3,2,1,2,3,4,5,6,7,6,5,4,3,2,1,2,3,4,5,

%U 6,7,8,7,6,5,4,3,2,1,2,3,4,5,6,7,8,9,8

%N A walk based on the digits of Champernowne constant C (A033307).

%C C = 0,12345678910111213141516171819202122...

%C Between 0 and 1 we place nothing.

%C Between 1 and 2 we place nothing.

%C Between 2 and 3 we place nothing.

%C Between 3 and 4 we place nothing.

%C Between 4 and 5 we place nothing.

%C Between 5 and 6 we place nothing.

%C Between 6 and 7 we place nothing.

%C Between 7 and 8 we place nothing.

%C Between 8 and 9 we place nothing.

%C Between 9 and 1 we place 8, 7, 6, 5, 4, 3 and 2.

%C ....

%C Between 1 and 3 we place 2.

%C Between 3 and 1 we place 2, and so on.

%C This gives:

%C 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, ...

%C This could be called a walk (or promenade) on the digits of C.

%Y Cf. A007376, A033307

%K nonn,easy,base

%O 1,3

%A _Philippe Deléham_, Nov 23 2013