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A096987 Numerator of Sum_{k=1..n} 1/H(k), H(k) = Sum_{j=1..k} 1/j. 5
0, 1, 5, 73, 2221, 353777, 19595573, 239046803, 198972350083, 1535302297058707, 100536661265514127, 8974880059175708288297, 818810519369821323965929237, 990666575600755815615137883006341 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..13.

EXAMPLE

1/1 +1/(1 +1/2) +1/(1 +1/2 +1/3) = 73/33, so a(3) = 73.

MATHEMATICA

f[n_] := Numerator[ Sum[ 1/HarmonicNumber[j], {j, 1, n}]]; Table[ f[n], {n, 0, 14}] (* Robert G. Wilson v, Aug 21 2004 *)

PROG

(PARI) m=13; for(n=0, m, print1(numerator(sum(k=1, n, 1/sum(j=1, k, 1/j))), ", ")) - Klaus Brockhaus, Aug 21 2004

CROSSREFS

Cf. A124432 (denominators).

Sequence in context: A293146 A321189 A301387 * A096538 A334282 A317341

Adjacent sequences:  A096984 A096985 A096986 * A096988 A096989 A096990

KEYWORD

easy,frac,nonn

AUTHOR

Leroy Quet, Aug 19 2004

EXTENSIONS

More terms from Klaus Brockhaus and Robert G. Wilson v, Aug 21 2004

STATUS

approved

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Last modified September 24 09:10 EDT 2021. Contains 347630 sequences. (Running on oeis4.)