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 A331026 Lexicographically earliest sequence of distinct positive numbers such that for any n > 0, the n-th nonzero decimal digit in the sequence divides the n-th term. 2
 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 18, 16, 20, 17, 25, 19, 24, 21, 30, 22, 23, 28, 26, 35, 27, 36, 32, 40, 34, 29, 33, 38, 42, 44, 39, 46, 48, 50, 54, 45, 55, 52, 49, 51, 60, 57, 56, 64, 63, 68, 58, 72, 66, 69, 75, 80, 76, 62, 84, 88, 78, 81 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This sequence is a permutation of the natural numbers: - necessarily some nonzero digit, say d, appears infinitely many times, - if d=1, then we have infinitely many multiples of 1, and eventually every number will show up, - if d>1, then all the multiples of d will show up, as there are infinitely many multiples of d containing a "1" digit, we have infinitely many multiples of 1 as well, and eventually every number will show up. This sequence can also be seen as an irregular table, where the n-th has A055640(a(n)) terms, and T(n, k) is a multiple of the k-th nonzero digit of a(n). LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 Rémy Sigrist, PARI program for A331026 EXAMPLE For first terms and corresponding digits are:   n   a(n)  n-th digit   --  ----  ----------    1     1           1    2     2           2    3     3           3    4     4           4    5     5           5    6     6           6    7     7           7    8     8           8    9     9           9   10    10           1   11    11           1   12    12           1   13    13           1   14    14           2 PROG (PARI) See Links section. CROSSREFS See A331010 for similar sequences. Cf. A055640. Sequence in context: A297289 A048327 A048340 * A098312 A279487 A046039 Adjacent sequences:  A331023 A331024 A331025 * A331027 A331028 A331029 KEYWORD nonn,base,look,tabf AUTHOR Rémy Sigrist, Jan 07 2020 STATUS approved

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Last modified May 14 11:57 EDT 2021. Contains 343882 sequences. (Running on oeis4.)