OFFSET
1,3
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.11 Feller's coin tossing constants, p. 339.
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Run
Wikipedia, Feller's coin-tossing constants
FORMULA
Equals -2/3 - 4/(3*(17 + 3*sqrt(33))^(1/3)) + 2*(17 + 3*sqrt(33))^(1/3)/3. - Vaclav Kotesovec, Oct 14 2018
Positive real root of x^3 + 2*x^2 + 4*x - 8. - Peter Luschny, Oct 14 2018
EXAMPLE
1.0873780253841527231417119436....
MAPLE
evalf[120](solve(x^3+2*x^2+4*x-8=0, x)[1]); # Muniru A Asiru, Nov 25 2018
MATHEMATICA
alpha = Root[1-x+(x/2)^4, x, 1]; RealDigits[alpha, 10, 102] // First (* Jean-François Alcover, Jun 03 2014 *)
PROG
(PARI) solve(x=1, 3/2, 1-x+(x/2)^4) \\ Michel Marcus, Oct 14 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jul 13 2003
STATUS
approved