A084043 Smallest palindromic multiple of n in which the digit string of n appears as sandwiched between at least a pair of digits, or 0 if n = 10k or no such number exists.

111, 222, 333, 444, 555, 666, 777, 888, 999, 0, 1111, 82128, 41314, 414414, 55155, 61616, 317713, 41814, 41914, 0, 912219, 2222, 52325, 2324232, 52525, 82628, 82728, 828828, 52925, 0, 2131312, 23232, 3333, 2243422, 535535, 2136312, 43734, 88388

Offset

1,1

Comments

Conjecture: a(n) = 0 iff n = 10k.

Links

Table of n, a(n) for n=1..38.

Crossrefs

Sequence in context: A316849 A316850 A210711 * A291266 A033284 A333568

Adjacent sequences: A084040 A084041 A084042 * A084044 A084045 A084046

Keyword

base,nonn

Author

Amarnath Murthy, May 26 2003

Extensions

Corrected and extended by Ray Chandler, Jun 11 2003

Status

approved