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 A071102 #14 Jan 05 2021 03:28:09 %S A071102 1,2,15,384,32625,9085440,8238791743,24233379889152 %N A071102 Determinant of KK* where K is Kasteleyn-Percus matrix for fool's diamond of order n. %D A071102 J. Propp, Enumeration of matchings: problems and progress, pp. 255-291 in L. J. Billera et al., eds, New Perspectives in Algebraic Combinatorics, Cambridge, 1999 (see Problem 27). %H A071102 J. Propp, <a href="http://faculty.uml.edu/jpropp/update.pdf">Updated article</a> %H A071102 J. Propp, Enumeration of matchings: problems and progress, in L. J. Billera et al. (eds.), <a href="http://www.msri.org/publications/books/Book38/contents.html">New Perspectives in Algebraic Combinatorics</a> %F A071102 Conjecture from _Seiichi Manyama_, Jan 04 2021: (Start) %F A071102 a(2*n+1) = A340291(n) = 4^(2*n^2) * Product_{1<=j,k<=n} (1 - cos(j*Pi/(2*n+1))^2 * cos(k*Pi/(2*n+1))^2). %F A071102 a(2*n) = 2 * 4^(2*(n-1)) * A340166(n) = 2 * 4^(2*(n-1)*n) * Product_{1<=j,k<=n-1} (1 - cos(j*Pi/(2*n))^2 * cos(k*Pi/(2*n))^2). (End) %Y A071102 Cf. A340166, A340291. %K A071102 nonn,more %O A071102 1,2 %A A071102 _N. J. A. Sloane_, May 28 2002