A385516 Perfect powers whose digits are in strictly decreasing order.
1, 4, 8, 9, 32, 64, 81, 841, 961
Offset: 1
Programs
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Mathematica
perfectPowerQ[n_] := n==1 || GCD @@ FactorInteger[n][[All, 2]] > 1; (* A001597 *) Select[Range[1000], perfectPowerQ[#] && Max[Differences[IntegerDigits[#]]]<0 &]