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A330324
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a(n) = Sum_{i=1..n} Moebius(i)*Moebius(i+1), where Moebius(n) = A008683(n).
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2
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-1, 0, 0, 0, -1, -2, -2, -2, -2, -3, -3, -3, -4, -3, -3, -3, -3, -3, -3, -3, -2, -3, -3, -3, -3, -3, -3, -3, -2, -1, -1, -1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, -1, 0, 1, 1
(list;
graph;
refs;
listen;
history;
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internal format)
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OFFSET
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1,6
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LINKS
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MAPLE
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a:= proc(n) option remember; `if`(n<1, 0,
a(n-1)+numtheory[mobius](n*(n+1)))
end:
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MATHEMATICA
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Accumulate @ Table[MoebiusMu[n] * MoebiusMu[n+1], {n, 1, 100}] (* Amiram Eldar, Jul 26 2022 *)
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PROG
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(PARI) a(n) = sum(i=1, n, moebius(i*(i+1))); \\ Michel Marcus, Jul 26 2022
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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