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

1,12

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Example

a(n) = 0 for palindromic numbers.

Mathematica

rd[x_]:=FromDigits[Reverse[IntegerDigits[x]]] Table[Mod[rd[n], n], {n, 1, 256}]

Prog

(PARI) a(n, base=10) = my (r=fromdigits(Vecrev(digits(n, base)), base)); r%n \\ Rémy Sigrist, Apr 05 2020
(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

Crossrefs

Cf. A071955, A103166-A103169, A002113, A071590.

Sequence in context: A078086 A337171 A061467 * A298584 A238475 A180878

Adjacent sequences: A103165 A103166 A103167 * A103169 A103170 A103171

Keyword

base,nonn

Author

Labos Elemer, Jan 28 2005

Extensions

Definition corrected by N. J. A. Sloane, Jul 14 2007

Status

approved