N.Y. Estates, Powers & Trusts Law § 5-3.2
(a) Whenever a testator has a child born after the execution of a last will, and dies leaving the after-born child unprovided for by any settlement, and neither provided for nor in any way mentioned in the will, every such child shall succeed to a portion of the testator's estate as herein provided:
(1) If the testator has one or more children living when he executes his last will, and: