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A354835

Numbers k such that the k-th and (k+1)st Stieltjes constants have opposite signs.

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

1,2

COMMENTS

Stieltjes constants change sign between StieltjesGamma(k) and StieltjesGamma(k+1).

LINKS

Table of n, a(n) for n=1..61.

FORMULA

a(n) = -1 + Sum_{i=0..n-1} A114524(i).

EXAMPLE

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).

MATHEMATICA

aa = {}; Do[If[Sign[StieltjesGamma[n]] != Sign[StieltjesGamma[n + 1]], AppendTo[aa, n]], {n, 0, 755}]; aa

CROSSREFS

Cf. A114523, A114524.

Sequence in context: A086814 A211274 A276217 * A086343 A056549 A034806

Adjacent sequences: A354832 A354833 A354834 * A354836 A354837 A354838

KEYWORD

nonn

AUTHOR

Artur Jasinski, Jun 07 2022

STATUS

approved