|
%I #14 Jan 13 2022 02:27:36
%S 1,2,3,4,5,6,7,8,9,11,22,33,44,55,66,77,88,99,111,222,333,444,555,666,
%T 777,888,999,1001,1111,1221,1331,1441,1551,1661,1771,1881,1991,2002,
%U 2112,2222,2332,2442,2552,2662,2772,2882,2992,3003,3113,3223,3333,3443
%N Palindromes in which every digit occurs with equal frequency.
%C 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?
%C 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
%H Georg Fischer, <a href="/A082810/b082810.txt">Table of n, a(n) for n = 1..10000</a>
%e 132231 is a term.
%Y Cf. A002113, A010785, A266279.
%K base,easy,nonn
%O 1,2
%A _Amarnath Murthy_, Apr 21 2003
|
