Need value of a lookup item number of times in rows based on its value in other cell

In G3, copied across and down.

=IFERROR(INDEX(B$3:B$104,MATCH(0,--(COUNTIF($G$2:G2,B$3:B$104)=$E$3:$E$104),0)),"")

I cut your numbers down.... to facilitate checking. If you want two columns of 1s as well... there is a formula there in the dark pink cells.

You're welcome.

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