harmonic(n)
The nth harmonic number is given by – Syntax: harmonic(n) Parameter: n – It denotes the number upto which harmonic number is to be calculated. Returns: Returns the nth harmonic number.Example #1:
# import sympy from sympy import * n = 7
print ( "Value of n = {}" . format (n))
# Use sympy.harmonic() method nth_harmonic = harmonic(n)
print ( "Value of nth harmonic number : {}" . format (nth_harmonic))
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Value of n = 7 Value of nth harmonic number : 363/140
harmonic(n, m)
The nth generalized harmonic number of order m is given by – Syntax: harmonic(n, m) Parameter: n – It denotes the number upto which harmonic number is to be calculated. m – It denotes the order of the harmonic number. Returns: Returns the nth harmonic number of order m.Example #2:
# import sympy from sympy import * n = 5
m = 2
print ( "Value of n = {} and m = {}" . format (n, m))
# Use sympy.harmonic() method nth_harmonic_poly = harmonic(n, m)
print ( "The nth harmonic number of order m : {}" . format (nth_harmonic_poly))
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Value of n = 5 and m = 2 The nth harmonic number of order m : 5269/3600