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 A365414 #16 Sep 25 2023 09:12:54
%S A365414 7,18,31,36,56,54,90,72,98,90,127,144,140,126,180,144,217,162,248,180,
%T A365414 224,252,270,216,266,288,378,252,308,270,360,360,399,306,434,324,504,
%U A365414 342,450,432,434,468,511,396,476,414,720,504,518,450,620,576,560,576,630,504,756,522,756,540
%N A365414 a(n) = sigma(6*n+4). Sum of the divisors of 6*n+4, n >= 0.
%C A365414 Consider a spiral similar to the spiral described in A239660 but instead of having four quadrants on the square grid the new spiral has six wedges on the triangular grid. A "diamond" formed by two adjacent triangles has area 1. a(n) is the number of diamonds (or the area) added in the fourth wedge after n turns. The interesting fact is that for n >> 1 the geometric pattern in the fourth wedge of the spiral is similar to the geometric pattern of the second wedge but it is different from the other wedges.
%F A365414 a(n) = A000203(6*n+4).
%F A365414 a(n) = A000203(A016957(n)).
%t A365414 Table[DivisorSigma[1, 6*n + 4], {n, 0, 60}] (* _Amiram Eldar_, Sep 09 2023 *)
%o A365414 (PARI) a(n) = sigma(6*n+4); \\ _Michel Marcus_, Sep 08 2023
%Y A365414 Partial sums give A365444.
%Y A365414 Other members of the same family are A363031 and A224613. Also 6*A098098.
%Y A365414 Cf. A000203, A016957, A363031.
%K A365414 nonn,easy,less
%O A365414 0,1
%A A365414 _Omar E. Pol_, Sep 07 2023