

A143443


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


1



1, 0, 3, 4, 10, 6, 14, 16, 18, 10, 22, 24, 39, 28, 15, 16, 34, 36, 57, 60, 42, 22, 46, 48, 50, 26, 27, 28, 58, 90, 124, 128, 99, 68, 35, 36, 74, 38, 0, 0, 41, 84, 129, 132
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OFFSET

1,3


COMMENTS

Equals row sums of triangle A143442.


LINKS

Table of n, a(n) for n=1..44.


EXAMPLE

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


MATHEMATICA

Table[n Plus @@ MoebiusMu[Range[n]], {n, 1, 80}] (* Carl Najafi, Aug 17 2011 *)


PROG

(PARI) a(n) = n*sum(k=1, n, moebius(k)); \\ Michel Marcus, Aug 22 2015


CROSSREFS

Cf. A002321, A143442.
Sequence in context: A183170 A014411 A247372 * A139556 A191150 A023896
Adjacent sequences: A143440 A143441 A143442 * A143444 A143445 A143446


KEYWORD

sign


AUTHOR

Gary W. Adamson, Aug 15 2008


EXTENSIONS

More terms from Carl Najafi, Aug 17 2011


STATUS

approved



