A352673 Decimal expansion of (3/13)(4+sqrt(3)).

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

Offset

1,2

Links

Table of n, a(n) for n=1..86.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 13*x^2 - 24*x + 9. - Amiram Eldar, May 31 2026

Example

1.32278095559281783696787223265520131544...

Mathematica

r = N[(3/13) (4 + Sqrt[3]), 200]
RealDigits[r][[1]]
(* Alternative: *)
RealDigits[(3(4+Sqrt[3]))/13, 10, 120][[1]] (* Harvey P. Dale, Feb 08 2026 *)

Prog

(PARI) 3*(4+sqrt(3))/13 \\ Charles R Greathouse IV, May 18 2026

Crossrefs

Cf. A352672, A352675, A352676.

Sequence in context: A293268 A020835 A244639 * A193919 A055674 A210612

Adjacent sequences: A352670 A352671 A352672 * A352674 A352675 A352676

Keyword

nonn,cons

Author

Clark Kimberling, Mar 26 2022

Status

approved