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30 lines
657 B
Python

"""Compute the Taylor series for zeta(x) - 1 around x = 0."""
from __future__ import division, print_function, absolute_import
try:
import mpmath
except ImportError:
pass
def zetac_series(N):
coeffs = []
with mpmath.workdps(100):
coeffs.append(-1.5)
for n in range(1, N):
coeff = mpmath.diff(mpmath.zeta, 0, n)/mpmath.factorial(n)
coeffs.append(coeff)
return coeffs
def main():
print(__doc__)
coeffs = zetac_series(10)
coeffs = [mpmath.nstr(x, 20, min_fixed=0, max_fixed=0)
for x in coeffs]
print("\n".join(coeffs[::-1]))
if __name__ == '__main__':
main()