OFFSET

0,3

COMMENTS

Smallest positive palindrome divisible by n, or 0 if no such palindrome exists (which happens iff n is a multiple of 10). - N. J. A. Sloane, Apr 04 2019

The existence of palindromic multiples is a corollary of the theorem that an arithmetic progression with initial term c and a positive common difference d contains infinitely many palindromic numbers unless both of these numbers are multiples of 10. - M. Harminc (harminc(AT)duro.science.upjs.sk), Jul 14 2000

LINKS

Giovanni Resta, Table of n, a(n) for n = 0..10000 (first 8181 terms from N. J. A. Sloane)

M. Harminc and R. Sotak, Palindromic numbers in arithmetic progressions, Fibonacci Quarterly Journal, Jun-Jul (1998), pp. 259-262.

FORMULA

a(n) = n*A050782(n). - Michel Marcus, Jan 22 2019

CROSSREFS

KEYWORD

nonn,base

AUTHOR

EXTENSIONS

a(0)=0 added by N. J. A. Sloane, Apr 04 2019

STATUS

approved