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 A380416 #17 Apr 29 2025 04:44:50 %S A380416 18,83,258,627,1298,2403,4098,6563,10002 %N A380416 Number of corona for a diamond of edge n with diamonds of side 1. %C A380416 The number of diamonds that can surround a diamond(n) are the natural numbers > 2. These numbers fall into four categories: A004767(n), A004767(n) + 1, A004767(n) + 2, and A004767(n) + 3. %C A380416 The number of coronal tilings for A004767(n) is 2. %C A380416 The number of coronal tilings for A004767(n) + 1 is 9,25,49,81,121,169, see A016754. %C A380416 The number of coronal tilings for A004767(n) + 2 is 6,40,126,288,550,936, see A089207. %C A380416 The number of coronal tilings for A004767(n) + 3 is 1,16,81,256,625,1296, see A000583. %H A380416 Craig Knecht, <a href="/A380416/a380416_2.png">83 corona of the D1 diamond</a>. %H A380416 Craig Knecht, <a href="/A380416/a380416_1.png">Coronal Reptile</a>. %H A380416 Craig Knecht, <a href="/A380416/a380416.png">Example for the sequence</a>. %H A380416 Craig Knecht, Feihu Liu, and Guoce Xin, <a href="https://arxiv.org/abs/2504.19269">Enumeration of Corona for Lozenge Tilings</a>, arXiv:2504.19269 [math.CO], 2025. %Y A380416 Cf. A000583, A004767, A016754, A089207, A380346. %K A380416 nonn,more %O A380416 0,1 %A A380416 _Craig Knecht_, Jan 24 2025