A342114 Take a(n), reverse it, divide the biggest of the two numbers by the other one and keep only the remainder. The successive remainders, concatenated, reproduce the successive terms of the sequence, concatenated.

25, 13, 14, 247, 250, 149, 52, 29, 1, 290, 12, 31, 275, 18, 188, 2, 157, 260, 38, 92, 24, 27, 190, 125, 146, 28, 3, 17, 104, 295, 592, 255, 83, 206, 285, 115, 137, 170, 71, 140, 26, 410, 109, 143, 21, 369, 193, 820, 138, 490, 15, 309, 289, 16, 106, 580, 601, 256, 82, 227, 4, 62, 23, 154, 168, 37, 32

Offset: 1

Author

Eric Angelini and Carole Dubois, Feb 28 2021

Keywords

• nonn
• look
• base

Comments

In reversing a number, leading zeros are erased. Palindromes in base 10 leave 0 as remainder.

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

Examples

			a(1) = 25, which reversed is 52; 52/25 leaves a remainder 2;
a(2) = 13, which reversed is 31; 31/13 leaves a remainder 5;
a(3) = 14, which reversed is 41; 41/14 leaves a remainder 13;
a(4) = 247, which reversed is 742; 742/247 leaves a remainder 1;
a(5) = 250, which reversed is 52 (leading zeros are erased); 250/52 leaves a remainder 42;
a(6) = 149, which reversed is 941; 941/149 leaves a remainder 47;
a(7) = 52, which reversed is 25; 52/25 leaves a remainder 2; etc.
The successive remainders (concatenated) reproduce the (concatenated) terms of the sequence.
		

Links

• Carole Dubois, Table of n, a(n) for n = 1..4999

Crossrefs

Cf. A061467 (remainder when the larger of n and its reverse is divided by the smaller), A002113 (palindromes in base 10).