A178566 Decimal expansion of (32 + sqrt(1297))/13.

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

Offset

1,1

Comments

Continued fraction expansion of (32+sqrt(1297))/13 is A164360.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 13*x^2 - 64*x - 21. - Amiram Eldar, May 03 2026

Example

5.23183740082601638241321010460410843942601561339776...

Mathematica

RealDigits[(32 + Sqrt[1297])/13, 10, 100][[1]] (* G. C. Greubel, Jan 30 2019 *)

Prog

(PARI) default(realprecision, 100); (32+sqrt(1297))/13 \\ G. C. Greubel, Jan 30 2019
(Magma) SetDefaultRealField(RealField(100)); (32+Sqrt(1297))/13; // G. C. Greubel, Jan 30 2019
(SageMath) numerical_approx((32+sqrt(1297))/13, digits=100) # G. C. Greubel, Jan 30 2019

Crossrefs

Cf. A178567 (decimal expansion of sqrt(1297)), A164360 (repeat 5, 4, 3).

Sequence in context: A089261 A111716 A369456 * A155551 A259027 A214064

Adjacent sequences: A178563 A178564 A178565 * A178567 A178568 A178569

Keyword

cons,nonn

Author

Klaus Brockhaus, May 29 2010

Status

approved