A247413 Decimal expansion of the entropy constant related to A063443.

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

Offset

1,2

References

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B. D. McKay, On Calkin and Wilf's limit theorem for grid graphs, unpublished note, 1996.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

Table of n, a(n) for n=1..13.

N. J. Calkin, K. James, and 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.

Steven R. Finch, Several Constants Arising in Statistical Mechanics, arXiv:math/9810155 [math.CO], 1999, p.8.

Vaclav Kotesovec, Non-attacking chess pieces, 6ed, 2013, p.68-69.

D. E. Knuth, Nonattacking kings on a chessboard, 1994.

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

Cf. A063443, A212269.

Cf. A085850, A085851.

Sequence in context: A375486 A082928 A139524 * A108127 A207376 A213197

Adjacent sequences: A247410 A247411 A247412 * A247414 A247415 A247416

Keyword

nonn,cons,more,nice,changed

Author

Vaclav Kotesovec, Sep 16 2014

Status

approved