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For an integer p ≥ 2 we construct vertical and horizontal one-pth Riordan arrays from a Riordan array.When p = 2 one-pth Riordan arrays are reduced to well known half Riordan arrays.The generating functions of the A-sequences of vertical and horizontal one-pth Riordan arrays are found.The vertical and horizontal one-pth Riordan arrays provide an approach to construct many identities.They can also be used to verify some well known identities readily.