A010465 Decimal expansion of square root of 7.

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

Offset

1,1

Comments

Continued fraction expansion is 2 followed by {1, 1, 1, 4} repeated. - Harry J. Smith, Jun 01 2009

The convergents to sqrt(7) are given in A041008/A041009. - Wolfdieter Lang, Nov 22 2017

Links

Harry J. Smith, Table of n, a(n) for n = 1..20000

Jason Kimberley, Index of expansions of sqrt(d) in base b

R. J. Nemiroff & J. Bonnell, The first 1 million digits of the square root of 7

Simon Plouffe, Plouffe's Inverter, sqrt(7) to 100000 digits

Index entries for algebraic numbers, degree 2

Example

2.645751311064590590501615753639260425710259183082450180368334459201...

Mathematica

RealDigits[N[Sqrt[7], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 21 2011 *)

Prog

(PARI)  default(realprecision, 20080); x=sqrt(7); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010465.txt", n, " ", d));  \\ Harry J. Smith, Jun 01 2009
(Magma) SetDefaultRealField(RealField(100)); Sqrt(7); // Vincenzo Librandi, Feb 15 2020

Crossrefs

Cf. A010121 (continued fraction), A041008/A041009.

Sequence in context: A021382 A356309 A182505 * A065630 A364222 A319376

Adjacent sequences: A010462 A010463 A010464 * A010466 A010467 A010468

Keyword

nonn,cons,easy

Author

N. J. A. Sloane

Status

approved