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A242055 Decimal expansion of c, a constant appearing in the asymptotic lower bound of the size of a restricted difference set. 0
1, 5, 6, 0, 2, 7, 7, 9, 4, 2, 0, 4, 1, 8, 7, 9, 7, 0, 2, 1, 0, 2, 0, 7, 7, 3, 8, 1, 5, 6, 8, 4, 6, 3, 7, 5, 6, 3, 7, 3, 9, 9, 5, 7, 4, 5, 9, 4, 9, 5, 4, 2, 5, 3, 8, 5, 3, 7, 1, 2, 3, 9, 2, 9, 7, 8, 0, 6, 8, 4, 9, 4, 8, 2, 7, 8, 5, 1, 8, 2, 4, 4, 4, 3, 6, 3, 3, 1, 6, 3, 4, 7, 1, 8, 5, 5, 8, 6, 3, 0, 5, 3, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.28 p. 188.

LINKS

Table of n, a(n) for n=1..103.

Steven R. Finch, Errata and Addenda to Mathematical Constants. 2.28 p. 26.

Steven R. Finch, Errata and Addenda to Mathematical Constants, January 22, 2016. [Cached copy, with permission of the author]

FORMULA

c = sqrt(2*(1 - sin(theta)/theta)), where theta is the smallest positive zero of tan(t)-t (theta = A115365).

EXAMPLE

1.560277942041879702102077381568463756373995745949542538537...

MATHEMATICA

digits = 103; theta = t /. FindRoot[Tan[t] == t, {t, 4}, WorkingPrecision -> digits+5]; c = Sqrt[2*(1 - Sin[theta]/theta)]; RealDigits[c, 10, digits] // First

CROSSREFS

Cf. A115365.

Sequence in context: A201591 A100220 A011440 * A178591 A179588 A092161

Adjacent sequences:  A242052 A242053 A242054 * A242056 A242057 A242058

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Aug 13 2014

STATUS

approved

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Last modified June 24 17:50 EDT 2019. Contains 324330 sequences. (Running on oeis4.)