A174930 Decimal expansion of (4+sqrt(17))/8.

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

Offset

1,4

Comments

Continued fraction expansion of (4+sqrt(17))/8 is A174927.

Links

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 64*x^2 - 64*x - 1. - Amiram Eldar, Mar 31 2026

2*this = 1+A344387. - R. J. Mathar, Jun 03 2026

Example

1.015388203202207568727676231996759628143399903171702...

Mathematica

RealDigits[(4 + Sqrt[17])/8, 10, 120][[1]] (* Amiram Eldar, Mar 31 2026 *)

Crossrefs

Cf. A010473 (decimal expansion of sqrt(17)), A174927 (repeat 1, 64).

Sequence in context: A161488 A010484 A390074 * A179452 A396078 A079810

Adjacent sequences: A174927 A174928 A174929 * A174931 A174932 A174933

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 02 2010

Status

approved