cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A366628 Number of divisors of 6^n+1.

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%I A366628 #13 Apr 19 2025 18:01:37
%S A366628 2,2,2,4,2,8,8,12,4,8,8,4,4,16,8,32,8,8,64,8,8,48,16,8,16,16,16,32,32,
%T A366628 16,512,4,8,64,8,1536,32,16,8,512,32,16,128,4,8,128,32,4,128,64,64,
%U A366628 256,16,32,1024,192,64,128,8,4,64,8,4,768,8,256,2048,32,32
%N A366628 Number of divisors of 6^n+1.
%H A366628 Max Alekseyev, <a href="/A366628/b366628.txt">Table of n, a(n) for n = 0..430</a>
%F A366628 a(n) = sigma0(6^n+1) = A000005(A062394(n)).
%e A366628 a(3)=4 because 6^3+1 has divisors {1, 7, 31, 217}.
%p A366628 a:=n->numtheory[tau](6^n+1):
%p A366628 seq(a(n), n=0..100);
%t A366628 DivisorSigma[0, 6^Range[0, 70] + 1] (* _Paolo Xausa_, Apr 19 2025 *)
%o A366628 (PARI) a(n) = numdiv(6^n+1);
%Y A366628 Cf. A062394, A000005, A057938, A366621, A366627, A366629, A366630, A366670.
%Y A366628 Cf. A046798, A366577, A366606, A366616, A366637, A366656, A366665, A344897, A366688, A366714.
%K A366628 nonn
%O A366628 0,1
%A A366628 _Sean A. Irvine_, Oct 14 2023