A176401 Decimal expansion of (6+sqrt(39))/2.

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

Offset

1,1

Comments

Continued fraction expansion of (6+sqrt(39))/2 is A010724.

Links

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 4*x^2 - 24*x - 3. - Amiram Eldar, Mar 31 2026

Example

6.12249899919919910292344656046989723053647998899582...

Mathematica

RealDigits[(6 + Sqrt[39])/2, 10, 120][[1]] (* Amiram Eldar, Mar 31 2026 *)

Crossrefs

Cf. A010493 (decimal expansion of sqrt(39)), A010724 (repeat 6, 8).

Sequence in context: A121090 A321991 A010135 * A325977 A365164 A153736

Adjacent sequences: A176398 A176399 A176400 * A176402 A176403 A176404

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 17 2010

Status

approved