Make a (somewhat) self-referential string You want to make a string where the (1-indexed) character at index n is n. When n is less than 10, this is easy: "123456789". When n is 12, for example, it becomes impossible, since numbers greater than 9 (in base 10) take up more than one character. We can compromise by dividing the string into two-character substrings: "020406081012". Now the index of the end of each substring n is n.

This can be generalized for any d-digit number. Here's an explanation for the "0991021" part of the string for a three-digit number:

Index:     ... * 97  98  99*100 101 102*103 ...
               *           *           *
               *---+---+---*---+---+---*---+
Character: ... * 0 | 9 | 9 * 1 | 0 | 2 * 1 | ...
               *---+---+---*---+---+---*---+


If you haven't figured it out yet, you are to write a program/function that takes a string or integer and output its self-referential string as specified above. You can also output an array of single-digit numbers, chars, or single-character strings.

The given integer will always be positive and divisible by its length (e.g. 126 is divisible by 3; 4928 is divisible by 4). Your program should theoretically work for an arbitrarily large input, but you can assume it is smaller than your language's maximum integer and/or string length. 

Some observations if you still don't get it: The length of the output will always be the input itself, and the numbers that appear in the output will be divisible by the number of digits in the input.

This is code-golf, so shortest answer in bytes wins.

Test cases

1    =&gt; 1
9    =&gt; 123456789
10   =&gt; 0204060810
105  =&gt; 003006009012015018021024027030033036039042045048051054057060063066069072075078081084087090093096099102105
1004 =&gt; 00040008001200160020002400280032003600400044004800520056006000640068007200760080008400880092009601000104010801120116012001240128013201360140014401480152015601600164016801720176018001840188019201960200020402080212021602200224022802320236024002440248025202560260026402680272027602800284028802920296030003040308031203160320032403280332033603400344034803520356036003640368037203760380038403880392039604000404040804120416042004240428043204360440044404480452045604600464046804720476048004840488049204960500050405080512051605200524052805320536054005440548055205560560056405680572057605800584058805920596060006040608061206160620062406280632063606400644064806520656066006640668067206760680068406880692069607000704070807120716072007240728073207360740074407480752075607600764076807720776078007840788079207960800080408080812081608200824082808320836084008440848085208560860086408680872087608800884088808920896090009040908091209160920092409280932093609400944094809520956096009640968097209760980098409880992099610001004
C, 64 bytes

l,i;main(n){for(scanf("%d%n",&amp;n,&amp;l);i&lt;n;)printf("%0*d",l,i+=l);}


Takes a single integer as input on stdin.