A083960 Smallest palindromic multiple of (n with trailing 0's omitted, A004151) using only nonzero digits of n; all digits must appear; or 0 if no such number exists.

1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 11, 2112, 131131, 414414, 5115, 61616, 7111117, 8118, 99199, 2, 1121211, 22, 32223, 4224, 525, 262262, 22222722222, 828828, 922229, 3, 133331, 23232, 33, 4333334, 535535, 6336, 333777333, 88388, 393393, 4

Offset: 1

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 20 2003

Keywords

• base
• nonn

Comments

If one generates all palindromes using all the digits of n with k digits where k starts with the number of digits of n and increases k until one finds a multiple of n, one finds such palindromic multiples much faster than looking for palindromes among the multiples of n. - W. Edwin Clark

Crossrefs

Cf. A061816, A083961, A004151.

Extensions

More terms from W. Edwin Clark, May 24 2003

Corrected by David Wasserman, Dec 06 2004