cp's OEIS Frontend

A090410 Values of L(10^n), where L(n) is the summatory function of the Liouville function A008836(n).

%I A090410 #32 Feb 16 2025 08:32:51
%S A090410 1,0,-2,-14,-94,-288,-530,-842,-3884,-25216,-116026,-342224,-522626,
%T A090410 -966578,-7424752,-29445104,-97617938,-271676470,-618117940,
%U A090410 -810056106,-6260758462,-34541748676
%N A090410 Values of L(10^n), where L(n) is the summatory function of the Liouville function A008836(n).
%C A090410 L(n) for n <= 10^13 is always negative from 906488081 to 10^13. It reaches a record negative value of -3458310 at 8196557476890. It reaches a record positive value of 829 at 906316571 (A051470(829)). - _Donovan Johnson_, Mar 08 2011
%H A090410 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LiouvilleFunction.html">Liouville Function</a>
%F A090410 a(n) = A002819(10^n). - _Ray Chandler_, May 30 2012
%o A090410 (PARI) a(n) = sum(i=1, 10^n, (-1)^bigomega(i)); \\ _Michel Marcus_, Sep 29 2015
%Y A090410 Cf. A002819, A008836.
%K A090410 sign,more
%O A090410 0,3
%A A090410 _Eric W. Weisstein_, Nov 30 2003
%E A090410 a(9)-a(13) from _Donovan Johnson_, Mar 08 2011
%E A090410 a(14)-a(17) from _Hiroaki Yamanouchi_, Jul 13 2014
%E A090410 a(18) from _Henri Lifchitz_, Dec 01 2014
%E A090410 a(19) from _Hiroaki Yamanouchi_, Sep 28 2015
%E A090410 a(20)-a(21) from _Henri Lifchitz_, Nov 08 2024