A128463 Decimal expansion of area of Gerver's sofa.
2, 2, 1, 9, 5, 3, 1, 6, 6, 8, 8, 7, 1, 9, 6, 7, 4, 2, 5, 5, 4, 6, 2, 8, 4, 1, 0, 0, 7, 9, 6, 7, 9, 6, 7, 3, 2, 8, 8, 3, 4, 1, 6, 7, 2, 7, 9, 8, 2, 0, 1, 1, 1, 4, 6, 3, 5, 1, 6, 5, 7, 2, 1, 8, 0, 9, 8, 5, 6, 4, 2, 3, 6, 5, 2, 6, 0, 3, 9, 7, 2, 3, 8, 2, 8, 5, 6, 7
Offset: 1
Examples
2.219531668871967...
References
- Steven R. Finch, Moving Sofa Constant, Sect. 8.12 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 519-523, 2003.
Links
- Jineon Baek, Optimality of Gerver's Sofa, arXiv:2411.19826 [math.MG], 2024.
- J. L. Gerver, On Moving a Sofa Around a Corner, Geometriae Dedicata 42, 267-283, 1992.
- Yoav Kallus and Dan Romik, Improved upper bounds in the moving sofa problem, arXiv preprint arXiv:1706.06630 [math.MG], 2017.
- Kuangdai Leng, Jia Bi, Jaehoon Cha, Samuel Pinilla, and Jeyan Thiyagalingam, Deep Learning Evidence for Global Optimality of Gerver's Sofa, arXiv:2407.11106 [cs.LG], 2024. See p. 16.
- Dan Romik, Differential equations and exact solutions in the moving sofa problem, arXiv:1606.08111 [math.DG], 2016.
- Dan Romik, Differential equations and exact solutions in the moving sofa problem, Experimental Mathematics (2017): 1-15.
- Eric Weisstein's World of Mathematics, Gerver Sofa.
- Eric Weisstein's World of Mathematics, Moving Sofa Constant.
- Eric Weisstein's World of Mathematics, Moving Sofa Problem.
- Wikipedia, Moving sofa problem
Crossrefs
Cf. A086118.
Extensions
More terms from Jinyuan Wang, Dec 04 2024