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A354835
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Numbers k such that the k-th and (k+1)st Stieltjes constants have opposite signs.
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3
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0, 2, 5, 9, 12, 16, 21, 25, 30, 35, 40, 45, 50, 56, 62, 67, 73, 79, 85, 91, 97, 104, 110, 117, 123, 130, 136, 143, 150, 157, 164, 171, 178, 185, 192, 200, 207, 214, 222, 229, 237, 244, 252, 259, 267, 275, 282, 290, 298, 306, 314, 322, 330, 338, 346, 354, 362, 370, 378, 386, 395
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OFFSET
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1,2
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COMMENTS
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Stieltjes constants change sign between StieltjesGamma(k) and StieltjesGamma(k+1).
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LINKS
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FORMULA
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a(n) = -1 + Sum_{i=0..n-1} A114524(i).
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EXAMPLE
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0 is a term because StieltjesGamma(0) = 0.577216 (positive) and StieltjesGamma(1) = -0.0728158 (negative).
5 is a term because StieltjesGamma(5) = 0.000793 (positive) and StieltjesGamma(6) = -0.0002387 (negative).
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MATHEMATICA
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aa = {}; Do[If[Sign[StieltjesGamma[n]] != Sign[StieltjesGamma[n + 1]], AppendTo[aa, n]], {n, 0, 755}]; aa
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CROSSREFS
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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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