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 A143443 a(n) = n * A002321(n), where A002321 = the Mertens function. 1

%I

%S 1,0,-3,-4,-10,-6,-14,-16,-18,-10,-22,-24,-39,-28,-15,-16,-34,-36,-57,

%T -60,-42,-22,-46,-48,-50,-26,-27,-28,-58,-90,-124,-128,-99,-68,-35,

%U -36,-74,-38,0,0,-41,-84,-129,-132

%N a(n) = n * A002321(n), where A002321 = the Mertens function.

%C Equals row sums of triangle A143442.

%e First four terms = (1, 0, -3, -4) = (1*1, 2*0, 3*(-1), 4*(-1)), where the Mertens function A002321 = (1, 0, -1, -1, -2, -1, -2, -2, -2,...)

%e a(5) = -10 = sum of row 5 terms of triangle A143442: (5 - 5 - 5 + 0 - 5).

%t Table[n Plus @@ MoebiusMu[Range[n]], {n, 1, 80}] (* _Carl Najafi_, Aug 17 2011 *)

%o (PARI) a(n) = n*sum(k=1, n, moebius(k)); \\ _Michel Marcus_, Aug 22 2015

%Y Cf. A002321, A143442.

%K sign

%O 1,3

%A _Gary W. Adamson_, Aug 15 2008

%E More terms from _Carl Najafi_, Aug 17 2011

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Last modified January 24 10:33 EST 2020. Contains 331193 sequences. (Running on oeis4.)