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A247553 Decimal expansion of A(rectangles), an analog of Moser's worm constant, which is associated with the class of rectangular regions of the plane. 0
3, 9, 4, 3, 8, 4, 7, 6, 8, 8, 3, 6, 8, 1, 3, 6, 2, 8, 2, 5, 4, 0, 3, 9, 2, 1, 8, 5, 4, 3, 1, 9, 9, 6, 8, 1, 6, 0, 7, 9, 5, 3, 9, 9, 0, 3, 8, 9, 3, 7, 5, 1, 5, 2, 2, 2, 8, 8, 3, 7, 3, 7, 9, 0, 9, 4, 0, 1, 2, 9, 3, 4, 2, 3, 1, 5, 0, 8, 8, 0, 0, 2, 0, 7, 9, 1, 6, 1, 8, 3, 7, 7, 2, 8, 8, 4, 8, 0, 7, 6, 6, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.4 Moser's Worm Constant, p. 492.

LINKS

Table of n, a(n) for n=0..101.

FORMULA

A = beta*sqrt(1 - beta^2), where beta is A240969.

EXAMPLE

0.39438476883681362825403921854319968160795399...

MATHEMATICA

phi = ArcSin[1/6 + (4/3)*Sin[(1/3)*ArcSin[17/64]]]; psi = ArcTan[(1/2)*Sec[phi]]; beta = (1/2)*(Pi/2 - phi - 2*psi + Tan[phi] + Tan[psi])^(-1); A = beta*Sqrt[1 - beta^2]; RealDigits[A, 10, 102] // First

CROSSREFS

Cf. A240969 (beta).

Sequence in context: A154368 A321120 A243711 * A307238 A161773 A212992

Adjacent sequences:  A247550 A247551 A247552 * A247554 A247555 A247556

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Sep 19 2014

STATUS

approved

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Last modified October 16 20:55 EDT 2019. Contains 328103 sequences. (Running on oeis4.)