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 A247413 #25 May 29 2025 11:10:26 %S A247413 1,3,4,2,6,4,3,9,5,1,1,2,4 %N A247413 Decimal expansion of the entropy constant related to A063443. %D A247413 Steven R. Finch, Mathematical Constants, Cambridge, 2003, p. 343. %D A247413 B. D. McKay, On Calkin and Wilf's limit theorem for grid graphs, unpublished note, 1996. %H A247413 N. J. Calkin, K. James, and S. Purvis, <a href="http://www.math.clemson.edu/~kevja/PAPERS/Kings2-2005REU.pdf">Counting Kings</a>, 2006, p.9. %H A247413 N. J. Calkin and H. S. Wilf, <a href="http://hdl.handle.net/1853/31277">The number of independent sets in a grid graph</a>, preprint, 1995. %H A247413 N. J. Calkin and H. S. Wilf, <a href="http://dx.doi.org/10.1137/S089548019528993X">The number of independent sets in a grid graph</a>, SIAM J. Discrete Math, 11 (1998) 54-60. %H A247413 Steven R. Finch, <a href="http://arxiv.org/abs/math/9810155">Several Constants Arising in Statistical Mechanics</a>, arXiv:math/9810155 [math.CO], 1999, p.8. %H A247413 Vaclav Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Non-attacking chess pieces</a>, 6ed, 2013, p.68-69. %H A247413 D. E. Knuth, <a href="http://www-cs-faculty.stanford.edu/~knuth/preprints.html">Nonattacking kings on a chessboard</a>, 1994. %H A247413 M. Larsen, <a href="http://www.combinatorics.org/Volume_2/Abstracts/v2i1r18.html">The Problem of Kings</a>, The Electronic Journal of Combinatorics 2, 1995. %H A247413 Kai Liang, <a href="https://arxiv.org/abs/2505.12776">Independent Set Enumeration in King Graphs by Tensor Network Contractions</a>, arXiv:2505.12776 [math.CO], 2025. See p. 6. %H A247413 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HardHexagonEntropyConstant.html">Hard Hexagon Entropy Constant</a> %H A247413 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HardSquareEntropyConstant.html">Hard Square Entropy Constant</a> %H A247413 H. S. Wilf, <a href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/v2i1r3">The problem of the kings</a>, Elec. J. Combin. 2, 1995. %F A247413 Equals limit n->infinity (A063443(n))^(1/n^2). %F A247413 Equals limit n->infinity (A212269(n))^(1/n^2). %e A247413 1.342643951124... %Y A247413 Cf. A063443, A212269. %Y A247413 Cf. A085850, A085851. %K A247413 nonn,cons,more,nice %O A247413 1,2 %A A247413 _Vaclav Kotesovec_, Sep 16 2014