OFFSET
1,1
COMMENTS
FORMULA
greatest root: -2/3 + (8/3)*cos((1/3)*arctan((3*sqrt(303))/37))
middle: -2/3 - (4/3)*cos((1/3)*arctan((3*sqrt(303))/37)) + (4*sin((1/3)*arctan((3*sqrt(303))/37)))/sqrt(3)
least: -2/3 - (4/3)*cos((1/3)*arctan((3*sqrt(303))/37)) - (4*sin((1/3)*arctan((3*sqrt(303))/37)))/sqrt(3)
EXAMPLE
greatest root: 1.8661982625090225055...
middle root: -1.2107558809591917224...
least root: -2.6554423815498307831...
MATHEMATICA
PROG
(PARI) -(-2/3 - (4/3)*cos((1/3)*atan((3*sqrt(303))/37)) - (4*sin((1/3)*atan((3*sqrt(303))/37)))/sqrt(3)) \\ Felix Fröhlich, Jul 07 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jun 28 2018
STATUS
approved