Consecutive Count of Children

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Please help. This seems like it should be a fairly simple answer, but I’ve worked on this for hours with no success. I would like a count formula that counts the Children, and numbers them consecutively. I can then use an embedded IF statement to calculate specific hours attributed to each Child. This simple formula, =COUNTIF(CHILDREN(), 0) outputs the number of Children in the Parent cell, but leaves a "0" in each Child cell.

I'm looking for, if a Parent has six Children, give each Child row a consecutive count number 1,2,3,4,5,6…. If a Parent row leave blank. 

Any advice is greatly appreciated. Thanks much, Tamara

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