Show that for any positive integer , we can find a positive integer such that the decimal digits of are only 's and 's.

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- May 7th 2010, 11:35 AMBruno J.Numbers whose decimal digits are 0 and 1Show that for any positive integer , we can find a positive integer such that the decimal digits of are only 's and 's.
- May 7th 2010, 10:10 PMDrexel28
- May 7th 2010, 10:33 PMsimplependulum
Can we just set

where is a multiple of and is any sequence (of course positive ) . - May 7th 2010, 11:08 PMNonCommAlg
- May 7th 2010, 11:22 PMsimplependulum
- May 10th 2010, 10:37 AMNonCommAlg