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Sum of the divisors of 5^n-1.
11

%I #10 Jan 11 2024 15:50:57

%S 7,60,224,1736,6048,49920,136724,1107792,3718400,27060480,85449224,

%T 869499904,2136230474,15820920000,61359427584,461863805760,

%U 1338408456700,13177159680000,33558717136896,301282248701952,863701914880000,6313641012910080,20863951122979048

%N Sum of the divisors of 5^n-1.

%H Max Alekseyev, <a href="/A366613/b366613.txt">Table of n, a(n) for n = 1..502</a>

%F a(n) = sigma(5^n-1) = A000203(A024049(n)).

%e a(3)=224 because 5^3-1 has divisors {1, 2, 4, 31, 62, 124}.

%p a:=n->numtheory[sigma](5^n-1):

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

%t DivisorSigma[1, 5^Range[30]-1]

%Y Cf. A024049, A000203, A057956, A059887, A074479, A143665, A218357, A295502, A366611, A366612.

%Y Cf. A075708, A366576, A366603, A366622, A366634, A366653, A366662, A102146, A366684, A366710.

%K nonn

%O 1,1

%A _Sean A. Irvine_, Oct 14 2023