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The conjecture of OEIS A362534 is false at n = 19
At n = 19 the adiabatic polarization-transfer bound g(19) = 215955/131072 has numerator 215955, while the ratio f(19)/g(19) = 92378/43191 has denominator 43191, so the conjecture of OEIS A362534 fails.
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A counterexample at n = 19
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