A354129 Decimal expansion of 7 + 4*sqrt(3).

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

Offset

2,2

Comments

The largest root of x^2 - 14*x + 1 = 0.

Apart from leading digits the same as A010502. - R. J. Mathar, May 24 2022

Links

Table of n, a(n) for n=2..93.

Nicholas Owad and Anastasiia Tsvietkova, Random meander model for links, arXiv:2205.03451 [math.GT], 2022, p. 13.

Formula

Equals (1 + sqrt(3))^4 / 4. - Vaclav Kotesovec, May 18 2022

Equals (2 + sqrt(3))^2 = A019973^2. - Jianing Song, May 27 2022

Equals exp(arccosh(7)). - Amiram Eldar, Jul 06 2023

Example

13.92820323027550917410978536602...

Mathematica

First[RealDigits[N[7+4Sqrt[3], 92]]]

Crossrefs

Cf. A002194, A010502, A019973 (square root), A354128 (multiplicative inverse).

Sequence in context: A094724 A008564 A348371 * A060956 A125301 A347214

Adjacent sequences: A354126 A354127 A354128 * A354130 A354131 A354132

Keyword

nonn,cons,easy

Author

Stefano Spezia, May 18 2022

Status

approved