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A342142
Take a(n), reverse it, divide the larger of the two numbers by the smaller and keep only the remainder: this remainder is present in a(n) as a substring of digits.
0
10, 20, 25, 30, 40, 50, 52, 60, 70, 80, 89, 90, 98, 100, 101, 110, 138, 180, 200, 202, 220, 295, 300, 303, 330, 400, 404, 410, 440, 500, 505, 510, 511, 520, 521, 530, 540, 550, 592, 600, 606, 660, 700, 707, 770, 800, 808, 810, 820, 831, 880, 890, 899, 900, 909, 940, 990, 998, 1000, 1001, 1010, 1089
OFFSET
1,1
COMMENTS
In reversing a number, leading zeros are erased.
This is the lexicographically earliest sequence of distinct positive terms with this property.
EXAMPLE
a(1) = 10, which reversed is 1 (leading zeros are erased); 10/1 leaves a remainder 0, which is present in a(1);
a(2) = 20, which reversed is 2 (leading zeros are erased); 20/2 leaves a remainder 0, which is present in a(2);
a(3) = 25, which reversed is 52; 52/25 leaves a remainder 2, which is present in a(3);
...
a(50) = 831, which reversed is 138; 831/138 leaves a remainder 3, which is present in a(50); etc.
MATHEMATICA
lst={}; k=1; Do[While[!StringContainsQ[ToString@k, ToString@Mod[#2, #]&@@(Sort@{k, IntegerReverse@k})], k++]; AppendTo[lst, k]; k++, {n, 61}]; lst (* Giorgos Kalogeropoulos, May 08 2022 *)
CROSSREFS
Cf. A342114 (where the terms of this sequence are used).
Sequence in context: A361337 A034048 A199978 * A179819 A320522 A072592
KEYWORD
base,nonn
AUTHOR
Eric Angelini and Carole Dubois, Mar 01 2021
STATUS
approved