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A179932 Number of distinct positive integers that can be formed with the decimal digits of n. 0

%I #11 Sep 21 2016 17:43:24

%S 1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,2,4,2,4,4,4,4,4,4,4,2,4,4,2,4,

%T 4,4,4,4,4,2,4,4,4,2,4,4,4,4,4,2,4,4,4,4,2,4,4,4,4,2,4,4,4,4,4,2,4,4,

%U 4,2,4,4,4,4,4,4,2,4,4,2,4,4,4,4,4,4,4,2,4,2,4,4,4,4,4,4,4,4,2,3,5,10,10

%N Number of distinct positive integers that can be formed with the decimal digits of n.

%e a(1) = 1 because there is only one number that can be formed with the digits in 1.

%e a(10) = 2 because the digits in 10 can be used to make 0, 1, 01, and 10, but only 1 and 10 are both nonzero and unique (obviously, 01=1).

%t Table[Length[Union[FromDigits/@Flatten[Permutations/@Flatten[ Table[ Partition[ IntegerDigits[t],n,1],{n,IntegerLength[t]}],1],1]/.(0-> Nothing)]], {t,110}] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Sep 21 2016 *)

%K nonn,base

%O 1,10

%A _Dominick Cancilla_, Aug 02 2010

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