A354129 - OEIS

%I #38 Jul 06 2023 01:53:27

%S 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,

%T 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,

%U 7,3,2,0,6,7,6,3,5,2,0,0,1,4,8,3,2,4,5,8,4,7,4,7

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

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

%C Apart from leading digits the same as A010502. - _R. J. Mathar_, May 24 2022

%H Nicholas Owad and Anastasiia Tsvietkova, <a href="https://arxiv.org/abs/2205.03451">Random meander model for links</a>, arXiv:2205.03451 [math.GT], 2022, p. 13.

%F Equals (1 + sqrt(3))^4 / 4. - _Vaclav Kotesovec_, May 18 2022

%F Equals (2 + sqrt(3))^2 = A019973^2. - _Jianing Song_, May 27 2022

%F Equals exp(arccosh(7)). - _Amiram Eldar_, Jul 06 2023

%e 13.92820323027550917410978536602...

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

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

%K nonn,cons,easy

%O 2,2

%A _Stefano Spezia_, May 18 2022