; and provided, additionally, that in any year following the establishment of an initial rate under this paragraph, the State plan or waiver provides for the payment amount to be calculated in accordance with paragraph (2) or (3) (as applicable). (5) Administration in the case of managed care (A) In general In the case of services furnished by a certified community behavioral health clinic pursuant to a contract between the clinic and a managed care entity (as defined in section 1932(a)(1)(B)), the State plan or a waiver of such plan shall provide for 1 of the following: (i) Payment to the clinic by the State of a supplemental payment equal to the amount (if any) by which the amount determined under paragraph (2), (3), or (4) (as applicable) exceeds the amount of payments under the contract, with such supplemental payment being made pursuant to a payment schedule agreed to by the State and the certified community behavioral health clinic, but in no case less frequently than every 3 months. (ii) Delegation by the State to the managed care entity of the obligation to pay the clinic at least the rate determined under paragraph (2), (3), or (4) (as applicable); provided, however, that the State shall use reconciliation and oversight processes to ensure that each clinic is paid at least the amounts required under such paragraphs. (6) Alternative payment methodologies Notwithstanding any other provision of this subsection, the State plan or a waiver of such plan may provide for payment in any year to a certified community behavioral health clinic for services described in paragraph (31) of section 1905(a) in an amount which is determined under an alternative payment methodology that— (A) is agreed to by the State and the clinic