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We present an asymptotic Pade-approximant estimate for the four-loop coefficients within the linear combination of correlators entering the recently calculated decay rate of a CP-odd Higgs boson, with an assumed mass $m_A = 100 GeV$, into two gluons. All but one of these coefficients are shown to be determined for arbitrary $m_A$ from the known 3-loop-order rate by renormalization group methods. Asymptotic Pade-approximant estimates for these coefficients are all seen to be within 12% of theirdoi:10.1088/0954-3899/26/1/309 fatcat:e4o7afgoozbmdhjiud2jerra6u