|
%I #23 Oct 21 2022 14:59:40
%S 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,
%T 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,
%U 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
%N Run lengths of consecutive Stieltjes constants having the same sign, where the signs are A114523.
%H Artur Jasinski, <a href="/A114524/b114524.txt">Table of n, a(n) for n = 0..51168</a> (generated from Krzysztof Maslanka base of 10^6 Stieltjes constants).
%H Krzysztof Maślanka, <a href="https://arxiv.org/abs/2210.07244">Asymptotic Properties of Stieltjes Constants</a>, arXiv:2210.07244 [math.NT], 2022.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/StieltjesConstants.html">Stieltjes Constants</a>
%e A114523 starts 1,-1,-1,1,1,1,-1,-1,-1,-1,1,... so the first few terms are 1,2,3,4,...
%t Length /@ Split[Table[Sign[StieltjesGamma[n]], {n, 0, 1002}]] (* _Jean-François Alcover_, Sep 20 2020 *)
%Y Cf. A114523.
%K nonn
%O 0,2
%A _Eric W. Weisstein_, Dec 06 2005
%E Typo in definition fixed by _Reinhard Zumkeller_, Jul 08 2010
|
