A085850 Decimal expansion of hard square entropy constant.
1, 5, 0, 3, 0, 4, 8, 0, 8, 2, 4, 7, 5, 3, 3, 2, 2, 6, 4, 3, 2, 2, 0, 6, 6, 3, 2, 9, 4, 7, 5, 5, 5, 3, 6, 8, 9, 3, 8, 5, 7, 8, 1, 0
Offset: 1
Examples
1.503048082...
References
- Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 5.12, p. 342.
Links
- R. J. Baxter, Planar Lattice Gases with Nearest-Neighbour Exclusion, arXiv:cond-mat/9811264 [cond-mat.stat-mech], 1998; Annals of Combinatorics, 3 (1999), pp. 191-203.
- S. R. Finch, Several Constants Arising in Statistical Mechanics, Annals Combinat. vol 3 (1999) issue (2-4) pp. 323-335.
- Vaclav Kotesovec, Non-attacking chess pieces, 6ed, 2013, p. 69 and 372.
- Kai Liang, Independent Set Enumeration and Estimation of Related Constants of Grid Graphs, arXiv:2507.04007 [math.CO], 2025. See p. 8.
- Eric Weisstein's World of Mathematics, Hard Square Entropy Constant.
Extensions
More terms from R. J. Mathar, Jul 18 2007
Terms a(19)-a(44) computed R. J. Baxter, 1998