A380895 Decimal expansion of (sqrt(17) + 1)/(4*sqrt(17)).

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

Offset: 0

Author

Stefano Spezia, Feb 07 2025

Keywords

• nonn
• cons
• easy

Comments

This constant and A380896 give the stationary distribution for maximal entropy random walk on the barred-square graph (see Burda et al.).

Examples

			0.310633906259083243379726615529030544487458812...
		

Links

• J. Burda, J. Duda, J. M. Luck, and B. Waclaw, The Various Facets of Random Walk Entropy, Acta Phys. Pol. B 41, 949-987 (2010). See p. 969.
• Index entries for algebraic numbers, degree 2.

Crossrefs

Cf. A010473, A222132, A380896.

Programs

Mathematica

RealDigits[(Sqrt[17]+1)/(4Sqrt[17]),10,100][[1]]

PARI

1/4+1/sqrt(272) \\ Charles R Greathouse IV, Feb 08 2025

Formula

Equals 1/2 - A380896.

Minimal polynomial: 34*x^2 - 17*x + 2. - Stefano Spezia, Aug 03 2025