A089337 a(1) = 1; for n > 1, a(n) is the smallest number that is either a divisor or a multiple, in that priority (order), of a(n-1) such that it is a distinct palindrome not included earlier.

1, 2, 4, 8, 88, 11, 22, 44, 484, 121, 242, 2662, 1331, 3993, 3, 6, 66, 33, 99, 9, 171, 1881, 171171, 7, 77, 616, 6776, 88088, 1001, 2002, 4004, 8008, 232232, 232, 464, 42224, 21112, 63336, 696, 25752, 111, 222, 444, 888, 21312, 333, 666, 24642, 12321, 36963

Offset

1,2

Comments

Conjecture: Every palindrome is a member.

Links

Table of n, a(n) for n=1..50.

Crossrefs

Cf. A002113 (palindromes).

Sequence in context: A018580 A267457 A322614 * A088114 A348050 A239697

Adjacent sequences: A089334 A089335 A089336 * A089338 A089339 A089340

Keyword

base,nonn

Author

Amarnath Murthy, Nov 04 2003

Extensions

More terms from David Wasserman, Sep 14 2005

Status

approved