Filling sheet with unique random numbers

I need a macros to fill 2000 rows with unique random numbers from 1 to 19 in B2:T2001 area.
Every row like this
14 11 12 7 18 13 19 5 6 16 9 4 8 15 1 3 10 2 17
Actually it's about random positions in rows for numbers from 1 to 19.
Different solutions are welcome.
Thanks.

Select B2:T2 and array-enter either =RandSeq() or =RandSeq(True) (the latter if you want the sequence to change each time you calculate.

Then drag down as far as you want.

Here's the function:

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You're welcome.

... will ask for help if it gives any repetitions

It's certainly possible, but the chances are way beyond slight in 2000 rows x 1458 sheets.