A176536 Decimal expansion of (15 + sqrt(235))/3.

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

Offset

2,5

Comments

Continued fraction expansion of (15 + sqrt(235))/3 is A010735 preceded by 10.

Links

Daniel Starodubtsev, Table of n, a(n) for n = 2..10000

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 9*x^2 - 90*x - 10. - Amiram Eldar, Apr 27 2026

Example

10.1099032389186305521845606638573495702310910865188...

Mathematica

RealDigits[(15+Sqrt[235])/3, 10, 120][[1]] (* Harvey P. Dale, Feb 17 2020 *)

Prog

(PARI) sqrt(235)/3 + 5 \\ Charles R Greathouse IV, Apr 25 2016

Crossrefs

Cf. A176524 (decimal expansion of sqrt(235)), A010735 (repeat 9, 10).

Sequence in context: A334711 A176537 A019891 * A302711 A021838 A199960

Adjacent sequences: A176533 A176534 A176535 * A176537 A176538 A176539

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 24 2010

Status

approved