A153803 a(n) = A153800(n) - A000043(n).
0, 0, 0, 0, 0, 2, 6, 10, 49, 103, 122, 167
Offset: 1
Programs
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Mathematica
a007691[m_] := Block[{f = 0, i = 1}, While[f < m, If[Divisible[DivisorSigma[1, i], i], ++f]; ++i;]; Return[i - 1]] a153800[n_] := Block[{i = 2, j, f = 0}, While[f < n, j = a007691[i]; If[PerfectNumberQ[j], ++f;]; ++i]; Return[i - 1]] a[n_] := a153800[n] - MersennePrimeExponent[n] a /@ Range[1, 4] (* Julien Kluge, Dec 15 2016 *)