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A372700
a(n) = Sum_{j=1..n} Sum_{k=1..n} mu(j*k), where mu is the Moebius function A008683.
3
1, -1, -1, -1, 1, 1, 3, 3, 3, 1, 3, 3, 7, 1, -3, -3, -1, -1, 3, 3, -5, -11, -9, -9, -9, -17, -17, -17, -15, -3, 3, 3, -7, -17, -23, -23, -21, -31, -37, -37, -37, -19, -15, -15, -15, -27, -23, -23, -23, -23, -33, -33, -29, -29, -39, -39, -49, -59, -59, -59, -57, -71, -71, -71, -79, -55, -53, -53, -63, -43, -39, -39
OFFSET
1,7
COMMENTS
Conjecture: a(n) changes sign infinitely often.
LINKS
FORMULA
If n is not squarefree, a(n) = a(n-1).
a(n) = -1 + 2 * Sum_{k=1..n} A372706(k).
PROG
(PARI) a(n) = sum(j=1, n, sum(k=1, n, moebius(j*k)));
CROSSREFS
KEYWORD
sign,look
AUTHOR
Seiichi Manyama, May 10 2024
STATUS
approved