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# The Highest Dice

## Challenge:

Here we have the first 100 items of a sequence:

6,5,4,3,2,1,66,65,64,63,62,61,56,55,54,53,52,51,46,45,44,43,42,41,36,35,34,33,32,31,26,25,24,23,22,21,16,15,14,13,12,11,666,665,664,663,662,661,656,655,654,653,652,651,646,645,644,643,642,641,636,635,634,633,632,631,626,625,624,623,622,621,616,615,614,613,612,611,566,565,564,563,562,561,556,555,554,553,552,551,546,545,544,543,542,541,536,535,534,533,...

How is this sequence formed? We first have the number in the range [6, 1] (all possible values of a single dice from highest to lowest). We then have the numbers [66..61, 56..51, 46..41, 36..31, 26..21, 16..11] (all possible concatted values of two dice from highest to lowest). Etc.
This is related to the OEIS sequence A057436: Contains digits 1 through 6 only, but with all the same-digit numbers sorted backwards in the sequence.

The challenge is to choose one of these three options for your function/program with the sequence above:

1. Take an input $$\n\$$ and output the $$\n\$$'th value of this sequence, where it can be either 0-indexed or 1-indexed.
2. Take an input $$\n\$$ and output the first $$\n\$$ or $$\n+1\$$ values of this sequence.
3. Output the values from the sequence indefinitely.

Of course, any reasonable output format can be used. Could be as strings/integers/decimals/etc.; could be as an (infinite) list/array/stream/etc.; could be output with space/comma/newline/other delimiter to STDOUT; etc. etc. Please state what I/O and option you're using in your answer!

## General rules:

• This is , so shortest answer in bytes wins.
Don't let code-golf languages discourage you from posting answers with non-codegolfing languages. Try to come up with an as short as possible answer for 'any' programming language.
• Standard rules apply for your answer with default I/O rules, so you are allowed to use STDIN/STDOUT, functions/method with the proper parameters and return-type, full programs. Your call.
• Default Loopholes are forbidden.

Here some larger test cases if you choose option 1:

n         0-indexed output    1-indexed output

500       5624                5625
750       4526                4531
1000      3432                3433
9329      11111               11112
9330      666666              11111
9331      666665              666666
10000     663632              663633
100000    6131232             6131233