1,2

x = (3 + (3 + (3 + ...)^(1/3))^(1/3))^(1/3)

Table of n, a(n) for n=1..97.

(3/2 + sqrt(239/108))^(1/3) + 1 / (81/2 + sqrt(6453/4))^(1/3)

(3/2 - sqrt(239/108))^(1/3) + 1 / (81/2 - sqrt(6453/4))^(1/3)

1.6716998816... (truncated to ten decimal places)

(PARI) solve(n=0, 2, n^3-n-3)

(PARI) polrootsreal(x^3-x-3)[1] \\ Charles R Greathouse IV, Nov 05 2017

Sequence in context: A319458 A296459 A308915 * A256128 A280501 A244818

Adjacent sequences: A294641 A294642 A294643 * A294645 A294646 A294647

nonn,cons

Michal Paulovic, Nov 05 2017

approved