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Numeri armonici (harmonic numbers)

Tavola numerica controllata

Contatti email:

Dott. p.i. Kofler Massimo

Socio ordinario S.I.S. – Società Italiana di Statistica

Socio ordinario U.M.I. – Unione Matematica Italiana

NUMERI ARMONICI (some harmonic numbers)

1 = 1
1 + 1/2 = 3/2
1 + 1/2 + 1/3 = 11/6
1 + 1/2 + 1/3 + 1/4 = 25/12
1 + 1/2 + 1/3 + 1/4 + 1/5 = 137/60
1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = 49/20
1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 = 363/140
1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 = 761/280
1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9 = 7.129/2.520
1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9 + 1/10 = 7.381/2.520
1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9 + 1/10 + 1/11 = 83.711/27.720
1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9 + 1/10 + 1/11 + 1/12 = 86.021/27.720
1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9 + 1/10 + 1/11 + 1/12 + 1/13 = 1.145.993/360.360
1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9 + 1/10 + 1/11 + 1/12 + 1/13 + 1/14 = 1.171.733/360.360
1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9 + 1/10 + 1/11 + 1/12 + 1/13 + 1/14 +1/15 = 1.195.757/360.360
.... ecc. (i numeri armonici formano le somme troncate della serie armonica che è divergente).

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