%I #11 Jan 11 2024 15:47:59
%S 3,8,6,20,12,48,6,48,24,64,6,240,6,64,96,224,12,512,24,640,48,128,12,
%T 1152,192,64,384,320,24,6144,12,1024,48,128,384,10240,24,512,48,6144,
%U 12,18432,12,1280,3072,128,6,10752,12,4096,192,960,24,81920,576,1536
%N Number of divisors of 5^n-1.
%H Max Alekseyev, <a href="/A366612/b366612.txt">Table of n, a(n) for n = 1..502</a>
%F a(n) = sigma0(5^n-1) = A000005(A024049(n)).
%e a(3)=6 because 5^3-1 has divisors {1, 2, 4, 31, 62, 124}.
%p a:=n->numtheory[tau](5^n-1):
%p seq(a(n), n=1..100);
%t DivisorSigma[0, 5^Range[100]-1]
%o (PARI) a(n) = numdiv(5^n-1);
%Y Cf. A024049, A000005, A057956, A059887, A074479, A143665, A295502, A218357, A366611, A366613.
%Y Cf. A046801, A366575, A366602, A366621, A366633, A366652, A366661, A070528, A366683, A366709.
%K nonn
%O 1,1
%A _Sean A. Irvine_, Oct 14 2023