A103168 a(n) is the remainder when (n written backwards) is divided by n.
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 9, 5, 13, 6, 13, 3, 9, 15, 2, 12, 0, 9, 18, 2, 10, 18, 26, 5, 3, 13, 23, 0, 9, 18, 27, 36, 7, 15, 4, 14, 24, 34, 0, 9, 18, 27, 36, 45, 5, 15, 25, 35, 45, 0, 9, 18, 27, 36, 6, 16, 26, 36, 46, 56, 0, 9, 18, 27, 7, 17, 27, 37, 47, 57, 67, 0, 9, 18, 8, 18, 28, 38
Offset: 1
Examples
a(n) = 0 for palindromic numbers.
Links
- Rémy Sigrist, Table of n, a(n) for n = 1..10000
Programs
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Mathematica
rd[x_]:=FromDigits[Reverse[IntegerDigits[x]]] Table[Mod[rd[n], n], {n, 1, 256}] Table[Mod[IntegerReverse[n],n],{n,90}] (* Harvey P. Dale, Jun 20 2025 *) -
PARI
a(n, base=10) = my (r=fromdigits(Vecrev(digits(n, base)), base)); r%n \\ Rémy Sigrist, Apr 05 2020
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Python
def a(n): return int(str(n)[::-1])%n print([a(n) for n in range(1, 84)]) # Michael S. Branicky, Dec 12 2021
Extensions
Definition corrected by N. J. A. Sloane, Jul 14 2007