It says that "Machinist Gust(af) Nyström in Wiksund(?) Svertsjö (probably Svärdsjö in Kopparberg) has ____________ he was the father". I can't make out the blank word, but I would expect it to be something like "admitted" or "acknowledged".

It is helpful if you can post a link to the record rather than supply a screen-shot. That helps us to look at similar entries to try to figure out the handwriting.