A086306 Decimal expansion of (280*(3 - sqrt(3)))/(840 - 280*sqrt(3) + 4*sqrt(5) - sqrt(10)).

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

Offset

0,1

Comments

Traveling salesman constant phi.

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Traveling Salesman Constants

Index entries for algebraic numbers, degree 8

Formula

Minimal polynomial 2039281090560000 -16314248724480000*x + 57096749187072000*x^2 -114181012979712000*x^3 + 142702857040896000*x^4 -114137317822464000*x^5 + 57053055891386880*x^6 - 16295524355957760*x^7 + 2036160672698881*x^8. - R. J. Mathar, Jun 03 2026

Example

0.983974862071875415877673258875009931150787481....

Mathematica

RealDigits[(280*(3-Sqrt[3]))/(840-280*Sqrt[3]+4*Sqrt[5]-Sqrt[10]), 10, 100][[1]] (* G. C. Greubel, Mar 10 2018 *)

Prog

(PARI) default(realprecision, 100); (280*(3-sqrt(3)))/(840-280*sqrt(3) +4*sqrt(5)-sqrt(10)) \\ G. C. Greubel, Mar 10 2018
(Magma) R:= RealField(100); SetDefaultRealField(R); (280*(3-Sqrt(3)))/(840 -280*Sqrt(3)+4*Sqrt(5)-Sqrt(10)); // G. C. Greubel, Mar 10 2018

Crossrefs

Sequence in context: A118427 A199170 A155532 * A094139 A330380 A021508

Adjacent sequences: A086303 A086304 A086305 * A086307 A086308 A086309

Keyword

nonn,cons,changed

Author

Eric W. Weisstein, Jul 15 2003

Status

approved