

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.


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

JeanFrançois Alcover, Aug 13 2014


STATUS

approved



