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A090410
Values of L(10^n), where L(n) is the summatory function of the Liouville function A008836(n).
3
1, 0, -2, -14, -94, -288, -530, -842, -3884, -25216, -116026, -342224, -522626, -966578, -7424752, -29445104, -97617938, -271676470, -618117940, -810056106, -6260758462, -34541748676
OFFSET
0,3
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
FORMULA
a(n) = A002819(10^n). - Ray Chandler, May 30 2012
PROG
(PARI) a(n) = sum(i=1, 10^n, (-1)^bigomega(i)); \\ Michel Marcus, Sep 29 2015
CROSSREFS
Sequence in context: A297474 A270063 A033169 * A066052 A122057 A164891
KEYWORD
sign,more,changed
AUTHOR
Eric W. Weisstein, Nov 30 2003
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
STATUS
approved