This site is supported by donations to The OEIS Foundation.



(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A247413 Decimal expansion of the entropy constant related to A063443. 4


%S 1,3,4,2,6,4,3,9,5,1,1,2,4

%N Decimal expansion of the entropy constant related to A063443.

%D S. R. Finch, Mathematical Constants, Cambridge, 2003, p. 343.

%D B. D. McKay, On Calkin and Wilf's limit theorem for grid graphs, unpublished note, 1996.

%H N. J. Calkin, K. James, S. Purvis, <a href="http://www.math.clemson.edu/~kevja/PAPERS/Kings2-2005REU.pdf">Counting Kings</a>, 2006, p.9.

%H 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 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 S. 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 V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Non-attacking chess pieces</a>, 6ed, 2013, p.68-69.

%H D. E. Knuth, <a href="http://www-cs-faculty.stanford.edu/~knuth/preprints.html">Nonattacking kings on a chessboard</a>, 1994.

%H 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 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HardHexagonEntropyConstant.html">Hard Hexagon Entropy Constant</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HardSquareEntropyConstant.html">Hard Square Entropy Constant</a>

%H 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 Equals limit n->infinity (A063443(n))^(1/n^2).

%F Equals limit n->infinity (A212269(n))^(1/n^2).

%e 1.342643951124...

%Y Cf. A063443, A212269.

%Y Cf. A085850, A085851.

%K nonn,cons,more,nice

%O 1,2

%A _Vaclav Kotesovec_, Sep 16 2014

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 21 00:17 EDT 2019. Contains 327252 sequences. (Running on oeis4.)