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

1,2

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

Links

Table of n, a(n) for n=1..40.

Crossrefs

Cf. A061816, A083961, A004151.

Sequence in context: A004086 A121760 A061816 * A344486 A138795 A297233

Adjacent sequences: A083957 A083958 A083959 * A083961 A083962 A083963

Keyword

base,nonn

Author

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

Extensions

More terms from W. Edwin Clark, May 24 2003

Corrected by David Wasserman, Dec 06 2004

Status

approved