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 A363857 #15 Jun 25 2023 10:42:28 %S A363857 0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,0,0,1,1,0,0,0,0, %T A363857 3,1,0,0,0,1,1,0,0,0,1,0,2,0,1,1,0,0,1,0,2,0,0,0,2,1,0,1,0,0,2,0,0,0, %U A363857 0,1,2,0,0,1,3,0,1,0,0,1,0,0,2,0,1,0,0,1,1,1,0,0,1,0,4,0,0,0,0,1 %N A363857 Number of divisors of 7*n-5 of form 7*k+6. %C A363857 Also number of divisors of 7*n-5 of form 7*k+5. %F A363857 a(n) = A363807(7*n-5) = A363808(7*n-5). %F A363857 G.f.: Sum_{k>0} x^(5*k)/(1 - x^(7*k-1)). %F A363857 G.f.: Sum_{k>0} x^(6*k-1)/(1 - x^(7*k-2)). %t A363857 a[n_] := DivisorSum[7*n - 5, 1 &, Mod[#, 7] == 6 &]; Array[a, 100] (* _Amiram Eldar_, Jun 25 2023 *) %o A363857 (PARI) a(n) = sumdiv(7*n-5, d, d%7==6); %Y A363857 Cf. A361691, A363854, A363855, A363856, A363858. %Y A363857 Cf. A363807, A363808. %K A363857 nonn %O A363857 1,23 %A A363857 _Seiichi Manyama_, Jun 24 2023