A176520 Decimal expansion of (63+3*sqrt(469))/14.

9, 1, 4, 0, 6, 5, 8, 8, 2, 0, 2, 2, 3, 0, 8, 1, 8, 2, 8, 9, 5, 4, 1, 8, 5, 9, 4, 7, 1, 6, 9, 5, 3, 7, 9, 9, 2, 3, 1, 0, 5, 6, 8, 0, 4, 3, 5, 9, 7, 1, 2, 3, 8, 2, 8, 2, 0, 6, 5, 9, 8, 7, 8, 0, 1, 9, 4, 8, 4, 5, 0, 1, 5, 2, 5, 1, 9, 0, 5, 7, 7, 7, 0, 9, 5, 5, 5, 1, 3, 9, 8, 1, 8, 0, 8, 5, 1, 0, 6, 2, 9, 1, 3, 5, 0

Offset

1,1

Comments

Continued fraction expansion of (63+3*sqrt(469))/14 is A010729 preceded by 9.

Links

Table of n, a(n) for n=1..105.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 7*x^2 - 63*x - 9. - Amiram Eldar, Apr 09 2026

Example

9.14065882022308182895418594716953799231056804359712...

Mathematica

RealDigits[(63+3*Sqrt[469])/14, 10, 120][[1]] (* Harvey P. Dale, Jan 20 2013 *)

Prog

(PARI) (3*sqrt(469)+63)/14 \\ Charles R Greathouse IV, Apr 25 2016

Crossrefs

Cf. A176443 (decimal expansion of sqrt(469)), A010729 (repeat 7, 9).

Sequence in context: A388907 A388681 A198819 * A011462 A335533 A383058

Adjacent sequences: A176517 A176518 A176519 * A176521 A176522 A176523

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 23 2010

Status

approved