A055132 Moebius function (A008683) applied to each term in the triangle A055096.
-1, 1, -1, -1, 0, 0, 1, -1, 1, -1, -1, 0, 0, 0, -1, 0, -1, 1, 1, 1, 1, 1, 0, -1, 0, -1, 0, -1, 1, 1, 0, -1, 1, 0, -1, 1, -1, 0, -1, 0, 0, 0, -1, 0, -1, 1, 0, -1, -1, 1, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, -1, 1, 1, 1, 1, 1, -1, 0, -1, -1, -1, -1, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 1, 1, -1, 0, -1, 0, 0, 1, 0, 0, 0, 1, 0, 1, -1
Offset: 1
Crossrefs
Cf. A055097.
Programs
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Maple
sum2distinct_squares_array := (n) -> (((n-((trinv(n-1)*(trinv(n-1)-1))/2))^2)+((trinv(n-1)+1)^2)); with(numtheory,mobius); a(n) = mobius(sum2distinct_squares_array(n))