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.

A363855 Number of divisors of 7*n-3 of form 7*k+6.

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%I A363855 #15 Jun 25 2023 09:41:43
%S A363855 0,0,1,0,0,1,0,0,2,0,0,1,0,0,2,0,0,1,1,0,2,0,0,1,0,0,2,0,1,1,0,1,2,0,
%T A363855 0,1,0,0,3,0,0,1,0,0,3,0,0,1,2,0,2,0,0,1,0,0,2,1,1,1,0,0,2,0,0,2,0,0,
%U A363855 4,0,1,1,0,0,2,0,0,1,1,0,2,0,1,2,0,0,2,0,2,1,0,0,3,0,0,1,1,0,3,1
%N A363855 Number of divisors of 7*n-3 of form 7*k+6.
%C A363855 Also number of divisors of 7*n-3 of form 7*k+3.
%F A363855 a(n) = A363805(7*n-3) = A363808(7*n-3).
%F A363855 G.f.: Sum_{k>0} x^(3*k)/(1 - x^(7*k-1)).
%F A363855 G.f.: Sum_{k>0} x^(6*k-3)/(1 - x^(7*k-4)).
%t A363855 a[n_] := DivisorSum[7*n - 3, 1 &, Mod[#, 7] == 6 &]; Array[a, 100] (* _Amiram Eldar_, Jun 25 2023 *)
%o A363855 (PARI) a(n) = sumdiv(7*n-3, d, d%7==6);
%Y A363855 Cf. A361691, A363854, A363856, A363857, A363858.
%Y A363855 Cf. A363805, A363808.
%K A363855 nonn
%O A363855 1,9
%A A363855 _Seiichi Manyama_, Jun 24 2023