

A128463


Decimal expansion of area of Gerver's sofa.


2



2, 2, 1, 9, 5, 3, 1, 6, 6, 8, 8, 7, 1, 9, 7
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OFFSET

1,1


COMMENTS

What is the sofa of greatest area S which can be moved around a rightangled hallway of unit width? Hammersley bounded this by A086118). Gerver (1992) found a sofa with larger area and provided arguments indicating that it is either optimal or close to it. The boundary of Gerver's sofa is a complicated shape composed of 18 arcs.


REFERENCES

S. R. Finch, Moving Sofa Constant, Sect. 8.12 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 519523, 2003.


LINKS

Table of n, a(n) for n=1..15.
J. L. Gerver, On Moving a Sofa Around a Corner, Geometriae Dedicata 42, 267283, 1992.
Yoav Kallus and Dan Romik, Improved upper bounds in the moving sofa problem, arXiv preprint arXiv:1706.06630 [math.MG], 2017.
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): 115.
Eric Weisstein's World of Mathematics, Moving Sofa Problem.


EXAMPLE

2.21953166887197...


CROSSREFS

Cf. A086118.
Sequence in context: A077944 A077992 A126586 * A136730 A175714 A291082
Adjacent sequences: A128460 A128461 A128462 * A128464 A128465 A128466


KEYWORD

cons,nonn,more


AUTHOR

Jonathan Vos Post, May 05 2007


STATUS

approved



