A351480 - OEIS

%I #10 Aug 21 2023 12:32:32

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

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

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

%N Decimal expansion of (611 + sqrt(73))/36.

%H S. Yu. Orevkov, <a href="https://arxiv.org/abs/2201.12827">Counting lattice triangulations: Fredholm equations in combinatorics</a>, arXiv:2201.12827 [math.CO], 2022. See Theorem 1, p. 2.

%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>

%F Equals lim_{n->infinity} A082640(2, n)^(1/n).

%F Equals 288*x_2, where x_2 is the largest root of 5184*x^2 - 611*x + 18.

%e 17.2095556595921536435519902312844...

%t First[RealDigits[N[(611+Sqrt[73])/36,90]]]

%Y Cf. A010525, A082640.

%Y Cf. A351481, A351482, A351483.

%Y Cf. A351484, A351485, A351486, A351487, A351488.

%K nonn,cons

%O 2,2

%A _Stefano Spezia_, Feb 12 2022