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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 Steven R. Finch, Errata and Addenda to Mathematical Constants. 2.28 p. 26. 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-François Alcover, Aug 13 2014 STATUS approved

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Last modified November 30 16:13 EST 2021. Contains 349422 sequences. (Running on oeis4.)