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A085397
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Numbers that are not perfect powers and whose squarefree part is not congruent to 1 (mod 4).
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2
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2, 3, 6, 7, 10, 11, 12, 14, 15, 18, 19, 22, 23, 24, 26, 28, 30, 31, 34, 35, 38, 39, 40, 42, 43, 44, 46, 47, 48, 50, 51, 54, 55, 56, 58, 59, 60, 62, 63, 66, 67, 70, 71, 72, 74, 75, 76, 78, 79, 82, 83, 86, 87, 88, 90, 91, 92, 94, 95, 96, 98, 99, 102, 103, 104, 106, 107, 108
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OFFSET
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1,1
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
Eric Weisstein's World of Mathematics, Artin's Constant
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MATHEMATICA
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fi[n_] := fi[n] = FactorInteger[n]; perfectPowerQ[n_] := Length[uf = Union[ fi[n][[All, 2]]]] == 1 && uf[[1]] >= 2; SquareFreePart[n_] := Times @@ Apply[Power, ({#[[1]], Mod[#[[2]], 2]} & ) /@ fi[n], {1}]; ok[n_] := ! perfectPowerQ[n] && Mod[ SquareFreePart[n], 4] != 1; Select[ Range[110], ok] (* From Jean-François Alcover, Jan 20 2012 *)
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CROSSREFS
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Sequence in context: A033495 A006877 A208892 * A073439 A188084 A107998
Adjacent sequences: A085394 A085395 A085396 * A085398 A085399 A085400
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KEYWORD
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nonn,easy
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AUTHOR
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Eric W. Weisstein, Jun 27, 2003
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STATUS
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approved
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