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

Author

Amarnath Murthy, May 26 2003

Keywords

• base
• nonn

Comments

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

Extensions

Corrected and extended by Ray Chandler, Jun 11 2003