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 A072813 a(n)^A072814(n) is the n-th perfect power. 1
 1, 2, 2, 3, 4, 5, 3, 2, 6, 7, 8, 9, 10, 11, 5, 2, 12, 13, 14, 6, 15, 3, 16, 17, 18, 7, 19, 20, 21, 22, 8, 23, 24, 25, 26, 27, 28, 29, 30, 31, 10, 32, 33, 34, 35, 36, 11, 37, 38, 39, 40, 41, 12, 42, 43, 44, 45, 2, 46, 3, 13, 47, 48, 49, 50, 51, 52, 14, 53, 54, 55, 5, 56, 57, 58, 15 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Eric Weisstein's World of Mathematics, Perfect Power. MATHEMATICA {1}~Join~Map[Function[m, Function[w, 1 + Position[w, Min@ DeleteCases[w, x_ /; x < 2]][[1, 1]]]@ Table[Boole[k^# == m] # &@ IntegerExponent[m, k], {k, 2, Floor@ Sqrt@ m}]], Select[Range@ 3400, GCD @@ FactorInteger[#][[All, -1]] > 1 &]] (* Michael De Vlieger, Dec 08 2016 *) CROSSREFS Cf. A001597(n) = a(n)^A072814(n). Sequence in context: A305815 A305789 A344568 * A285106 A120887 A155860 Adjacent sequences:  A072810 A072811 A072812 * A072814 A072815 A072816 KEYWORD nonn AUTHOR Reinhard Zumkeller, Jul 12 2002 EXTENSIONS Inserted a(1) = 1 by Gionata Neri, Dec 08 2016 STATUS approved

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Last modified May 24 01:24 EDT 2022. Contains 353993 sequences. (Running on oeis4.)