OFFSET
0,1
COMMENTS
LINKS
Gerd Lamprecht, Iterationsrechner mit Algorithmus
Gerd Lamprecht, Zahlenfolgen (sequence)
FORMULA
Gerd Lamprecht online Iterationsrechner Beispiel 59.
EXAMPLE
0.3301142148528702028... = Fibonacci(0.3301142148528702028...)
MATHEMATICA
RealDigits[x/.FindRoot[x==Fibonacci[x], {x, .3}, WorkingPrecision->120]] [[1]] (* Harvey P. Dale, Jan 19 2015 *)
PROG
(Other) Gerd Lamprecht online Iterationsrechner: #@P@Q5)*0.5+0.5, x)/@Q5)+@P@Q5)*0.5-0.5, x)*sin(PI*(x-0.5))/@Q5)-x@Na=0.33; b=0.331; c=(a+b)/2; @Nd=(Fx(c)*Fx(a)%3C0); a=d?a:c; b=d?c:b; c=(c+(d?a:b))/2; @N@AFx(c))%3C%205e-17@N0@N1@Nc=c; @B0]=GetKoDezi(-11, 0, 56);
(PARI) F(x) = my(phi=(sqrt(5)+1)/2); (phi^x - cos(Pi*x)/phi^x)/sqrt(5);
solve(x=0.2, 0.8, x-F(x)) \\ Michel Marcus, Jul 29 2022
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Gerd Lamprecht (gerdlamprecht(AT)googlemail.com), Jan 28 2010
EXTENSIONS
Adjusted offset and leading zero from R. J. Mathar, Jan 30 2010
STATUS
approved