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 A359327 #18 Aug 14 2023 01:59:32 %S A359327 0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,2,1,0,0,0,2,0,0,0,0,2,0,2,0,0, %T A359327 2,0,0,0,0,2,0,0,2,0,2,0,0,0,1,2,0,0,0,2,2,0,0,0,0,2,0,0,0,0,4,2,0,0, %U A359327 0,2,0,0,0,0,2,2,0,0,0,2,0,0,2,0,2,0,2,0,1,2 %N A359327 Number of divisors of 6*n-5 of form 6*k+5. %H A359327 Seiichi Manyama, <a href="/A359327/b359327.txt">Table of n, a(n) for n = 1..10000</a> %F A359327 a(n) = A319995(6*n-5). %F A359327 G.f.: Sum_{k>0} x^(5*k)/(1 - x^(6*k-1)). %t A359327 a[n_] := DivisorSum[6*n-5, 1 &, Mod[#, 6] == 5 &]; Array[a, 100] (* _Amiram Eldar_, Aug 14 2023 *) %o A359327 (PARI) a(n) = sumdiv(6*n-5, d, d%6==5); %o A359327 (PARI) my(N=100, x='x+O('x^N)); concat([0, 0, 0, 0], Vec(sum(k=1, N, x^(5*k)/(1-x^(6*k-1))))) %Y A359327 Cf. A319995, A359305, A359324, A359325, A359326. %Y A359327 Cf. A359239, A359240, A359241. %K A359327 nonn,easy %O A359327 1,10 %A A359327 _Seiichi Manyama_, Dec 25 2022