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A247413 Decimal expansion of the entropy constant related to A063443. 4
1, 3, 4, 2, 6, 4, 3, 9, 5, 1, 1, 2, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,2
REFERENCES
S. R. Finch, Mathematical Constants, Cambridge, 2003, p. 343.
B. D. McKay, On Calkin and Wilf's limit theorem for grid graphs, unpublished note, 1996.
LINKS
N. J. Calkin, K. James, S. Purvis, Counting Kings, 2006, p.9.
N. J. Calkin and H. S. Wilf, The number of independent sets in a grid graph, preprint, 1995.
N. J. Calkin and H. S. Wilf, The number of independent sets in a grid graph, SIAM J. Discrete Math, 11 (1998) 54-60.
S. R. Finch, Several Constants Arising in Statistical Mechanics, arXiv:math/9810155 [math.CO], 1999, p.8.
V. Kotesovec, Non-attacking chess pieces, 6ed, 2013, p.68-69.
M. Larsen, The Problem of Kings, The Electronic Journal of Combinatorics 2, 1995
Eric Weisstein's World of Mathematics, Hard Hexagon Entropy Constant
Eric Weisstein's World of Mathematics, Hard Square Entropy Constant
H. S. Wilf, The problem of the kings, Elec. J. Combin. 2, 1995.
FORMULA
Equals limit n->infinity (A063443(n))^(1/n^2).
Equals limit n->infinity (A212269(n))^(1/n^2).
EXAMPLE
1.342643951124...
CROSSREFS
Sequence in context: A369557 A082928 A139524 * A108127 A207376 A213197
KEYWORD
nonn,cons,more,nice
AUTHOR
Vaclav Kotesovec, Sep 16 2014
STATUS
approved

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Last modified March 19 06:16 EDT 2024. Contains 370952 sequences. (Running on oeis4.)