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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
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
EXAMPLE
132231 is a term.
CROSSREFS
KEYWORD
base,easy,nonn
AUTHOR
Amarnath Murthy, Apr 21 2003
STATUS
approved