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We present an asymptotic Pade-approximant estimate for the four-loopcoefficients within the linear combination of correlators entering the recentlycalculated decay rate of a CP-odd Higgs boson, with an assumed mass $m_A = 100GeV$, into two gluons. All but one of these coefficients are shown to bedetermined for arbitrary $m_A$ from the known 3-loop-order rate byrenormalization group methods. Asymptotic Pade-approximant estimates for thesecoefficients are all seen to be within 12% of their correct values. Thefour-loop term in the decay rate for $m_A = 100 GeV$ is estimated to be only4.3% of its leading one-loop contribution.Comment: 9 pages, latex2e, 1 figur

Padé-improvement of CP-odd Higgs decay rate into two gluons