A085094 Smallest k such that n*k-1 is a palindrome, or 0 if no such number exists.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 12, 1, 6, 4, 3, 7, 2, 9, 8, 5, 13, 6, 1, 8, 4, 3, 6, 2, 7, 31, 15, 6, 4, 1, 13, 9, 36, 4, 2, 23, 17, 13, 4, 3, 1, 11, 20, 4, 13, 2, 2, 7, 170, 3, 9, 1, 11, 92, 6, 16, 2, 15, 13, 3, 7, 2, 1, 11, 37, 13, 2, 8, 9, 18, 126, 2, 791, 1, 11, 12, 2, 9, 5, 41

Offset

1,11

Comments

Conjecture: No entry is zero. For every n there exists a k such that n*k-1 is a palindrome.

Links

Table of n, a(n) for n=1..84.

Example

a(13)=6 as 13*6-1=77, a palindrome.

Mathematica

skpal[n_]:=Module[{k=1}, While[!PalindromeQ[k*n-1], k++]; k]; Array[skpal, 90] (* Harvey P. Dale, Jun 16 2022 *)

Crossrefs

Sequence in context: A040151 A010213 A140378 * A010214 A318489 A121985

Adjacent sequences: A085091 A085092 A085093 * A085095 A085096 A085097

Keyword

base,nonn

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 03 2003

Extensions

More terms from Jason Earls, Jul 08 2003

Status

approved