A114524 Run lengths of consecutive Stieltjes constants having the same sign, where the signs are A114523.

1, 2, 3, 4, 3, 4, 5, 4, 5, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 8, 7, 8, 7, 8, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 9, 8, 9, 8, 9, 9, 8, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9

Offset

0,2

Links

Artur Jasinski, Table of n, a(n) for n = 0..51168 (generated from Krzysztof Maslanka base of 10^6 Stieltjes constants).

Krzysztof Maślanka, Asymptotic Properties of Stieltjes Constants, arXiv:2210.07244 [math.NT], 2022.

Eric Weisstein's World of Mathematics, Stieltjes Constants

Example

A114523 starts 1,-1,-1,1,1,1,-1,-1,-1,-1,1,... so the first few terms are 1,2,3,4,...

Mathematica

Length /@ Split[Table[Sign[StieltjesGamma[n]], {n, 0, 1002}]] (* Jean-François Alcover, Sep 20 2020 *)

Crossrefs

Cf. A114523.

Sequence in context: A214613 A364801 A325933 * A058033 A216197 A374054

Adjacent sequences: A114521 A114522 A114523 * A114525 A114526 A114527

Keyword

nonn

Author

Eric W. Weisstein, Dec 06 2005

Extensions

Typo in definition fixed by Reinhard Zumkeller, Jul 08 2010

Status

approved