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.
%I A359326 #18 Aug 14 2023 01:59:19 %S A359326 0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,2,1,0,0,0,2,0,0,0,1,2,1,0,1,0,1, %T A359326 0,1,0,0,2,1,1,0,0,2,0,1,0,1,2,0,0,2,0,1,0,1,0,0,2,1,0,1,2,2,0,0,0,1, %U A359326 2,0,0,1,0,2,0,1,0,1,2,2,0,0,0,2,2,0,0,1,2,0 %N A359326 Number of divisors of 6*n-4 of form 6*k+5. %H A359326 Seiichi Manyama, <a href="/A359326/b359326.txt">Table of n, a(n) for n = 1..10000</a> %F A359326 a(n) = A319995(6*n-4). %F A359326 G.f.: Sum_{k>0} x^(4*k)/(1 - x^(6*k-1)). %F A359326 G.f.: Sum_{k>0} x^(5*k-1)/(1 - x^(6*k-2)). %t A359326 a[n_] := DivisorSum[6*n-4, 1 &, Mod[#, 6] == 5 &]; Array[a, 100] (* _Amiram Eldar_, Aug 14 2023 *) %o A359326 (PARI) a(n) = sumdiv(6*n-4, d, d%6==5); %o A359326 (PARI) my(N=100, x='x+O('x^N)); concat([0, 0, 0], Vec(sum(k=1, N, x^(4*k)/(1-x^(6*k-1))))) %o A359326 (PARI) my(N=100, x='x+O('x^N)); concat([0, 0, 0], Vec(sum(k=1, N, x^(5*k-1)/(1-x^(6*k-2))))) %Y A359326 Cf. A319995, A359305, A359324, A359325, A359327. %K A359326 nonn,easy %O A359326 1,19 %A A359326 _Seiichi Manyama_, Dec 25 2022