A212718 Denominator of Sum_{k=1..n} 1/sigma(k).
1, 3, 12, 84, 28, 42, 168, 280, 3640, 32760, 32760, 32760, 4680, 1170, 4680, 145080, 145080, 145080, 145080, 1015560, 4062240, 4062240, 4062240, 4062240, 4062240, 4062240, 4062240, 4062240, 4062240, 4062240, 2031120, 2031120, 1015560, 3046680, 6093360, 6093360
Offset: 1
Examples
1, 4/3, 19/12, 145/84, 53/28, 83/42, 353/168, …
Programs
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Maple
with(numtheory): a:=n->numer(sum(1/sigma(k), k=1..n)): seq(a(n), n=1..50);
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Mathematica
Denominator[Table[Sum[1/DivisorSigma[1,k],{k,1,n}],{n,1,50}]]