

A082810


Palindromes in which every digit occurs with equal frequency.


2



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
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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



