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(Python)
from math import prod
from sympy import factorint
def a(n): return prod((p**(2*e+2)-1)//(p**2-1) for p, e in factorint(n).items())
print([a(n) for n in range(1, 51)]) # Michael S. Branicky, Feb 25 2024
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Cf. A333972 (Dgf at s=4).
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a(n) = 1/J_2(n) * Sum_{d divides n} J_2(n*d), where J_2(n) is the Jordan totient function A007434(n) ?. - Peter Bala, Jan 26 2024
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a(n) = 1/J_2(n) * Sum_{d divides n} J_2(n*d), where J_2(n) is the Jordan totient function A007434(n) ?. - Peter Bala, Jan 26 2024
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reviewed
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