

A109303


Numbers k with at least one duplicate base10 digit (A107846(k) > 0).


11



11, 22, 33, 44, 55, 66, 77, 88, 99, 100, 101, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 122, 131, 133, 141, 144, 151, 155, 161, 166, 171, 177, 181, 188, 191, 199, 200, 202, 211, 212, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 232, 233, 242
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OFFSET

1,1


COMMENTS

Complement of A010784, numbers with distinct base10 digits, so all numbers greater than 9876543210 (last term of A010784) are terms. a(263)=1001 is the first term not also a term of A044959; a(264)=1002 is the first term not also a term of A084050. The terms of A044959 greater than 9 are a subsequence. The terms of A084050 greater than 90 are a subsequence.


LINKS



MATHEMATICA

Select[Range[300], Max[DigitCount[#]] > 1 &] (* Harvey P. Dale, Jan 14 2011 *)


PROG

(Haskell)
a109303 n = a109303_list !! (n1)
a109303_list = filter ((> 0) . a107846) [0..]
(Python)
def ok(n): s = str(n); return len(set(s)) < len(s)


CROSSREFS

Cf. A010784 (numbers with distinct digits), A044959 (numbers with no two equally numerous digits), A084050 (numbers with a palindromic permutation of digits), A107846 (number of duplicate digits of n). Also see A062813, which gives the largest number in each base containing all distinct digits.


KEYWORD

base,easy,nonn


AUTHOR



STATUS

approved



