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A187487
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Numerator of n minus n-th harmonic number.
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1
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0, 1, 7, 23, 163, 71, 617, 1479, 15551, 17819, 221209, 246619, 3538687, 3873307, 4209643, 9094961, 166145857, 59239139, 1199057081, 254554945, 89778475, 94716499, 2292289173, 7218943253, 189040347533
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OFFSET
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1,3
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LINKS
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FORMULA
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a(n) = n - Sum_{i = 1..n} 1/i.
a(n) = Sum_{i = 2..n} (i - 1)/i.
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MAPLE
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f:=n -> numer(n - harmonic(n)):map(f, [$1..100]); # Robert Israel, Apr 26 2021
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MATHEMATICA
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Numerator[Table[n - HarmonicNumber[n], {n, 25}]]
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PROG
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(PARI) a(n) = numerator(n - sum(i=1, n, 1/i)); \\ Michel Marcus, Apr 26 2021
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CROSSREFS
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Cf. A001008 (numerators of the harmonic numbers). Adding this sequence to that sequence gives A102928.
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KEYWORD
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nonn,frac,easy
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AUTHOR
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STATUS
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approved
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