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 A363856 #15 Jun 25 2023 09:40:32 %S A363856 0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,1,1,1,0,1,0,0,0,2,0,0,0,2,0,2, %T A363856 0,1,0,0,0,2,0,0,1,1,0,1,1,1,0,0,0,3,0,1,0,1,0,1,0,2,0,0,0,2,1,0,0,1, %U A363856 0,2,0,2,1,0,0,3,0,0,0,1,0,1,0,1,0,1,1,3,0,0,0,2,0,1,0,1,1,1,1,2 %N A363856 Number of divisors of 7*n-4 of form 7*k+6. %C A363856 Also number of divisors of 7*n-4 of form 7*k+4. %F A363856 a(n) = A363806(7*n-4) = A363808(7*n-4). %F A363856 G.f.: Sum_{k>0} x^(4*k)/(1 - x^(7*k-1)). %F A363856 G.f.: Sum_{k>0} x^(6*k-2)/(1 - x^(7*k-3)). %t A363856 a[n_] := DivisorSum[7*n - 4, 1 &, Mod[#, 7] == 6 &]; Array[a, 100] (* _Amiram Eldar_, Jun 25 2023 *) %o A363856 (PARI) a(n) = sumdiv(7*n-4, d, d%7==6); %Y A363856 Cf. A361691, A363854, A363855, A363857, A363858. %Y A363856 Cf. A363806, A363808. %K A363856 nonn %O A363856 1,16 %A A363856 _Seiichi Manyama_, Jun 24 2023