A176517 Decimal expansion of (9+3*sqrt(10))/2.

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

Offset

1,1

Comments

Continued fraction expansion of (9+3*sqrt(10))/2 is A010714 preceded by 9.

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 4*x^2 - 36*x - 9. - Amiram Eldar, Apr 25 2026

Example

9.24341649025256899799834031664907780057933270898782...

Mathematica

RealDigits[(9+3*Sqrt[10])/2, 10, 120][[1]] (* Harvey P. Dale, Aug 12 2015 *)

Crossrefs

Cf. A010467 (decimal expansion of sqrt(10)), A010714 (repeat 4, 9).

Sequence in context: A384871 A388234 A099769 * A020784 A111188 A334845

Adjacent sequences: A176514 A176515 A176516 * A176518 A176519 A176520

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 23 2010

Status

approved