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A026426
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a(n) = least positive integer > a(n-1) and not a(i)*a(j) for 1<=i<=j<=n, n >= 2.
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2
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2, 4, 5, 6, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 29, 31, 32, 33, 37, 39, 40, 41, 43, 47, 48, 50, 51, 53, 56, 57, 59, 61, 67, 69, 70, 71, 72, 73, 79, 83, 87, 88, 89, 93, 97, 98, 101, 103, 104, 107, 109, 110, 111, 113, 120, 123, 125, 127
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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a = {2, 4}; used = {a[[1]]^2, a[[1]]*a[[2]], a[[2]]^2}; Do[k = a[[-1]] + 1; While[MemberQ[used, k], k++]; AppendTo[a, k]; used = Union[used, k*a], {n, 3, 66}]; a (* Ivan Neretin, Mar 07 2016 *)
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CROSSREFS
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Cf. A026416 and references therein.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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