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

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, 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, 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

Offset

1,10

Links

Table of n, a(n) for n=1..103.

Example

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

Mathematica

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 *)

Crossrefs

Sequence in context: A263991 A065285 A302437 * A267649 A071805 A063511

Adjacent sequences: A179929 A179930 A179931 * A179933 A179934 A179935

Keyword

nonn,base

Author

Dominick Cancilla, Aug 02 2010

Status

approved