A178229 Decimal expansion of (221+11*sqrt(1086))/490.

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

Offset

1,3

Comments

Continued fraction expansion of (221+11*sqrt(1086))/490 is A070365.

Links

Table of n, a(n) for n=1..105.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 980*x^2 - 884*x - 337. - Amiram Eldar, Mar 24 2026

Example

1.19081562280050976445511998307437957557990886780881...

Mathematica

RealDigits[(221 + 11*Sqrt[1086])/490, 10, 120][[1]] (* Amiram Eldar, Mar 24 2026 *)

Prog

(PARI) (221+11*sqrt(1086))/490 \\ Charles R Greathouse IV, May 18 2026

Crossrefs

Cf. A178230 (decimal expansion of sqrt(1086)), A070365 (repeat 1, 5, 4, 6, 2, 3).

Sequence in context: A019820 A019985 A242711 * A021995 A013677 A021528

Adjacent sequences: A178226 A178227 A178228 * A178230 A178231 A178232

Keyword

cons,nonn

Author

Klaus Brockhaus, May 23 2010

Status

approved