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Sum of the divisors of 3^n-1.
9

%I #11 Jan 05 2024 19:09:16

%S 3,15,42,186,399,1680,3282,15876,31836,123690,277344,1541568,2391486,

%T 8992680,25483332,111757968,193819392,967814400,1744488660,9366647892,

%U 16912999320,62424587520,144219337920,852903426816,1397135488896,4766016364260,12477973754400

%N Sum of the divisors of 3^n-1.

%H Max Alekseyev, <a href="/A366576/b366576.txt">Table of n, a(n) for n = 1..690</a>

%F a(n) = sigma(3^n-1) = A000203(A024023).

%e a(4)=186 because 3^4-1 has divisors {1, 2, 4, 5, 8, 10, 16, 20, 40, 80}.

%p a:=n->numtheory[sigma](3^n-1):

%p seq(a(n), n=1..100);

%t DivisorSigma[1,3^Range[30]-1] (* _Paolo Xausa_, Oct 15 2023 *)

%Y Cf. A024023, A000203, A075708, A133801, A295500, A366575.

%Y Cf. A075708, A366603, A366613, A366622, A366634, A366653, A366662, A102146, A366684, A366710.

%K nonn

%O 1,1

%A _Sean A. Irvine_, Oct 13 2023