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%I #7 Aug 27 2024 12:20:13
%S 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,24,26,28,30,32,
%T 34,36,38,21,27,33,39,42,45,48,51,54,57,40,44,52,56,60,64,68,72,76,80,
%U 25,35,50,55,65,70,75,85,90,95,66,78,84,96,102,108,114
%N Lexicographically earliest sequence of distinct positive integers such that for any n > 0, the initial digit of n divides a(n).
%C This sequence is a permutation of the positive integers with inverse A375759.
%H Rémy Sigrist, <a href="/A375758/b375758.txt">Table of n, a(n) for n = 1..10000</a>
%H Rémy Sigrist, <a href="/A375758/a375758.gp.txt">PARI program</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e The first terms are:
%e n a(n) a(n)/A30(n) | n a(n) a(n)/A30(n)
%e -- ---- ----------- | -- ---- -----------
%e 1 1 1 | 16 16 16
%e 2 2 1 | 17 17 17
%e 3 3 1 | 18 18 18
%e 4 4 1 | 19 19 19
%e 5 5 1 | 20 20 10
%e 6 6 1 | 21 22 11
%e 7 7 1 | 22 24 12
%e 8 8 1 | 23 26 13
%e 9 9 1 | 24 28 14
%e 10 10 10 | 25 30 15
%e 11 11 11 | 26 32 16
%e 12 12 12 | 27 34 17
%e 13 13 13 | 28 36 18
%e 14 14 14 | 29 38 19
%e 15 15 15 | 30 21 7
%o (PARI) \\ See Links section.
%Y Cf. A000030, A308539, A375759 (inverse).
%K nonn,base
%O 1,2
%A _Rémy Sigrist_, Aug 26 2024