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A068860 a(1) = 1; a(n+1) is the smallest number > a(n) which differs from it at every digit. 4

%I #16 Mar 20 2024 09:22:42

%S 1,2,3,4,5,6,7,8,9,10,21,30,41,50,61,70,81,90,101,210,301,410,501,610,

%T 701,810,901,1010,2101,3010,4101,5010,6101,7010,8101,9010,10101,21010,

%U 30101,41010,50101,61010,70101,81010,90101,101010,210101,301010,410101,501010

%N a(1) = 1; a(n+1) is the smallest number > a(n) which differs from it at every digit.

%C a(9001) has 1001 digits. - _Michael S. Branicky_, Mar 19 2024

%H Michael S. Branicky, <a href="/A068860/b068860.txt">Table of n, a(n) for n = 1..9000</a>

%F a(n) = fabab... where f = ((n-1) mod 9) + 1 and ab = 01 if f is odd else 10 and has floor((n-1)/9)+1 digits. - _Michael S. Branicky_, Mar 19 2024

%e After 90 the next member is 101 which differs at each digit position.

%o (Python)

%o def a(n):

%o q, r = divmod(n-1, 9)

%o d, f = q+1, r+1

%o return int((str(f) + "0"*(f%2) + "10"*(d//2))[:d])

%o print([a(n) for n in range(1, 51)]) # _Michael S. Branicky_, Mar 19 2024

%Y Cf. A068861.

%K nonn,base

%O 1,2

%A _Amarnath Murthy_, Mar 13 2002

%E a(48) and beyond from _Michael S. Branicky_, Mar 19 2024

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)