A082810 Palindromes in which every digit occurs with equal frequency.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 111, 222, 333, 444, 555, 666, 777, 888, 999, 1001, 1111, 1221, 1331, 1441, 1551, 1661, 1771, 1881, 1991, 2002, 2112, 2222, 2332, 2442, 2552, 2662, 2772, 2882, 2992, 3003, 3113, 3223, 3333, 3443

Offset

1,2

Comments

A superset of A010785. Can someone calculate the index of a term k having d digits? There are terms like 1, 2, 3, 4, 5, 6, 7, 8, 9, 1331, 2442, 3553, ... which have the property that a(31) = 1331, a(42) = 2442, a(53) = 3553 etc. Are there infinitely many such terms?

The additional terms with that property, up to a(100000), are: a(64) = 4664, a(75) = 5775, a(86) = 6886, a(97) = 7997, a(749) = 947749, a(4978) = 87944978, a(46581) = 185640046581. - Georg Fischer, Jan 12 2022

Links

Georg Fischer, Table of n, a(n) for n = 1..10000

Example

132231 is a term.

Crossrefs

Cf. A002113, A010785, A266279.

Sequence in context: A214019 A160818 A244514 * A344550 A010785 A343524

Adjacent sequences: A082807 A082808 A082809 * A082811 A082812 A082813

Keyword

base,easy,nonn

Author

Amarnath Murthy, Apr 21 2003

Status

approved