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

1,1

References

Steven R. Finch, Moving Sofa Constant, Sect. 8.12 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 519-523, 2003.

Links

Table of n, a(n) for n=1..88.

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

Example

2.219531668871967...

Crossrefs

Cf. A086118.

Sequence in context: A077992 A387912 A126586 * A136730 A175714 A291082

Adjacent sequences: A128460 A128461 A128462 * A128464 A128465 A128466

Keyword

nonn,cons

Author

Jonathan Vos Post, May 05 2007

Extensions

More terms from Jinyuan Wang, Dec 04 2024

Status

approved