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.

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.

Links

Table of n, a(n) for n=1..62.

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

Adjacent sequences: A342139 A342140 A342141 * A342143 A342144 A342145

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Mar 01 2021

Status

approved