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A294644 Decimal expansion of the real positive solution to x^3=x+3. 0
1, 6, 7, 1, 6, 9, 9, 8, 8, 1, 6, 5, 7, 1, 6, 0, 9, 6, 9, 7, 4, 8, 1, 4, 9, 7, 8, 1, 2, 1, 9, 5, 5, 7, 2, 2, 8, 7, 2, 8, 2, 6, 4, 8, 2, 7, 2, 0, 4, 5, 8, 1, 6, 9, 2, 1, 3, 6, 9, 0, 2, 4, 3, 8, 6, 4, 7, 5, 2, 5, 1, 3, 0, 0, 2, 1, 7, 9, 3, 2, 5, 2, 8, 7, 3, 6, 3, 7, 8, 6, 0, 8, 8, 5, 1, 4, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

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

FORMULA

(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)

EXAMPLE

1.6716998816... (truncated to ten decimal places)

PROG

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

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

CROSSREFS

Sequence in context: A319458 A296459 A308915 * A256128 A280501 A244818

Adjacent sequences:  A294641 A294642 A294643 * A294645 A294646 A294647

KEYWORD

nonn,cons

AUTHOR

Michal Paulovic, Nov 05 2017

STATUS

approved

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Last modified October 21 07:03 EDT 2019. Contains 328292 sequences. (Running on oeis4.)