A010547 Decimal expansion of square root of 96.

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

Offset

1,1

Comments

Continued fraction expansion is 9 followed by {1, 3, 1, 18} repeated. - Harry J. Smith, Jun 11 2009

This differs only by offset from 2*(6^(1/2))/5 = 0.9797958971132712392789... as used in Theorem 5, equation 1.8, p.4 of Cao. - Jonathan Vos Post, Apr 29 2010

Links

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

Zhenwei Cao and Alexander Elgart, On efficiency of Hamiltonian--based quantum computation for low-rank matrices, arXiv:1004.4911 [math-ph], 2010-2012.

Index entries for algebraic numbers, degree 2.

Formula

Equals 4*A010464. - R. J. Mathar, Feb 03 2025

Example

9.797958971132712392789136298823565567863789922626680513730770269003841...

Mathematica

RealDigits[N[96^(1/2), 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jan 24 2012 *)

Prog

(PARI) { default(realprecision, 20080); x=sqrt(96); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010547.txt", n, " ", d)); } \\ Harry J. Smith, Jun 11 2009

Crossrefs

Cf. A010167 (continued fraction).

Sequence in context: A244691 A121911 A358030 * A011405 A268228 A131724

Adjacent sequences: A010544 A010545 A010546 * A010548 A010549 A010550

Keyword

nonn,cons

Author

N. J. A. Sloane

Extensions

Final digits of sequence corrected using the b-file. - N. J. A. Sloane, Aug 30 2009

Status

approved