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

Author

Eric Angelini and Carole Dubois, Mar 01 2021

Keywords

• base
• nonn

Comments

In reversing a number, leading zeros are erased.

This is the lexicographically earliest sequence of distinct positive terms with this property.

Examples

			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.
		

Crossrefs

Cf. A342114 (where the terms of this sequence are used).

Programs

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 *)