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A187487 Numerator of n minus n-th harmonic number. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Robert Israel, Table of n, a(n) for n = 1..2286

FORMULA

a(n) = n - Sum_{i = 1..n} 1/i.

a(n) = Sum_{i = 2..n} (i - 1)/i.

MAPLE

f:=n -> numer(n - harmonic(n)):map(f, [$1..100]); # Robert Israel, Apr 26 2021

MATHEMATICA

Numerator[Table[n - HarmonicNumber[n], {n, 25}]]

PROG

(PARI) a(n) = numerator(n - sum(i=1, n, 1/i)); \\ Michel Marcus, Apr 26 2021

CROSSREFS

Denominators are in A002805.

Cf. A001008 (numerators of the harmonic numbers). Adding this sequence to that sequence gives A102928.

Sequence in context: A158954 A056205 A099051 * A299643 A034192 A050918

Adjacent sequences:  A187484 A187485 A187486 * A187488 A187489 A187490

KEYWORD

nonn,frac,easy,changed

AUTHOR

Alonso del Arte, Mar 10 2011

STATUS

approved

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Last modified May 7 15:02 EDT 2021. Contains 343650 sequences. (Running on oeis4.)