A128426 Decimal expansion of the location of a maximum of a Fibonacci Hamiltonian function.

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

Offset

0,1

Comments

The abscissa x of a unique maximum of the f(x) in Theorem 1 of Damanik et al., arising in spectrum of a periodic operator of the one-dimensional Schrodinger equation.

The value of f(x) at the maximum is A091648.

Links

Table of n, a(n) for n=0..104.

David Damanik, Mark Embree, Anton Gorodetski, and Serguei Tcheremchantsev, The Fractal Dimension of the Spectrum of the Fibonacci Hamiltonian, Communications in Mathematical Physics, Vol. 280, No. 2 (2008), pp. 499-516; arXiv preprint, arXiv:0705.0338 [math-ph], 2007. See p. 501 (p. 3 in the preprint).

Formula

Equals 2*(6 - sqrt(2))/17.

Example

0.53950428677963587661156603244591787310945036760271...

Mathematica

RealDigits[2*(6 - Sqrt[2])/17, 10, 120][[1]] (* Amiram Eldar, Mar 26 2026 *)

Crossrefs

Cf. A091648.

Sequence in context: A105372 A107449 A155496 * A336057 A165789 A133090

Adjacent sequences: A128423 A128424 A128425 * A128427 A128428 A128429

Keyword

easy,nonn,cons

Author

Jonathan Vos Post, May 04 2007

Extensions

Offset corrected and more digits added by R. J. Mathar, Mar 23 2010

Status

approved