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

1, 0, -2, -14, -94, -288, -530, -842, -3884, -25216, -116026, -342224, -522626, -966578, -7424752, -29445104, -97617938, -271676470, -618117940, -810056106, -6260758462, -34541748676

Offset: 0

Author

Eric W. Weisstein, Nov 30 2003

Keywords

• sign
• more

Comments

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

Links

• Eric Weisstein's World of Mathematics, Liouville Function

Crossrefs

Cf. A002819, A008836.

Programs

PARI

a(n) = sum(i=1, 10^n, (-1)^bigomega(i)); \\ Michel Marcus, Sep 29 2015

Formula

a(n) = A002819(10^n). - Ray Chandler, May 30 2012

Extensions

a(9)-a(13) from Donovan Johnson, Mar 08 2011

a(14)-a(17) from Hiroaki Yamanouchi, Jul 13 2014

a(18) from Henri Lifchitz, Dec 01 2014

a(19) from Hiroaki Yamanouchi, Sep 28 2015

a(20)-a(21) from Henri Lifchitz, Nov 08 2024