A176535 Decimal expansion of (10 + sqrt(105))/2.

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

Offset

2,4

Comments

Continued fraction expansion of (10 + sqrt(105))/2 is A010733 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: 4*x^2 - 40*x - 5. - Amiram Eldar, Apr 26 2026

Example

10.1234753829797991916105193402605259953675163317274...

Maple

Digits:=140: evalf(10+sqrt(105))/2; # Wesley Ivan Hurt, Jan 21 2017

Mathematica

RealDigits[(10+Sqrt[105])/2, 10, 120][[1]] (* Harvey P. Dale, Mar 13 2011 *)

Crossrefs

Cf. A176461 (decimal expansion of sqrt(105)), A010733 (repeat 8, 10).

Sequence in context: A138676 A297111 A035532 * A251716 A123498 A123502

Adjacent sequences: A176532 A176533 A176534 * A176536 A176537 A176538

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 24 2010

Status

approved