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(Magma)
A339689:= func< n | (&+[9^(d-1): d in Divisors(n)]) >;
[A339689(n): n in [1..40]]; // G. C. Greubel, Jun 25 2024
(SageMath)
def A339689(n): return sum(9^(k-1) for k in (1..n) if (k).divides(n))
[A339689(n) for n in range(1, 41)] # G. C. Greubel, Jun 25 2024
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a(n) ~ 9^(n-1). - Vaclav Kotesovec, Jun 05 2021
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Seiichi Manyama, <a href="/A339689/b339689.txt">Table of n, a(n) for n = 1..1000</a>