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The smallest unused positive number such that 2^a(n) contains n as a substring.
2

%I #11 Apr 12 2024 10:47:45

%S 10,4,1,5,2,8,6,15,3,12,17,40,7,27,18,21,14,34,30,13,11,24,43,41,19,

%T 50,28,38,47,32,22,49,25,63,33,35,16,37,23,42,53,44,59,45,46,52,60,31,

%U 20,39,54,9,51,29,74,57,48,56,61,69,55,58,66,76,26,73,72,36,62,82,64,70,77,67,65,91,78

%N The smallest unused positive number such that 2^a(n) contains n as a substring.

%C The sequence is conjectured to be a permutation of the positive integers.

%H Scott R. Shannon, <a href="/A371918/b371918.txt">Table of n, a(n) for n = 0..10000</a>

%e a(0) = 10 as 2^10 = 1024 which contains '0' as a substring.

%e a(6) = 6 as 2^6 = 64 which contains '6' as a substring. Note that 2^4 also contains '6' but 4 has already been used. This is the first term to differ from A063565.

%Y Cf. A000079, A371904, A063565, A368866.

%K nonn,base

%O 0,1

%A _Scott R. Shannon_, Apr 12 2024