The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A098318 Decimal expansion of [5, 5, ...] = (5 + sqrt(29))/2. 14
 5, 1, 9, 2, 5, 8, 2, 4, 0, 3, 5, 6, 7, 2, 5, 2, 0, 1, 5, 6, 2, 5, 3, 5, 5, 2, 4, 5, 7, 7, 0, 1, 6, 4, 7, 7, 8, 1, 4, 7, 5, 6, 0, 0, 8, 0, 8, 2, 2, 3, 9, 4, 4, 1, 8, 8, 4, 0, 1, 9, 4, 3, 3, 5, 0, 0, 8, 3, 2, 2, 9, 8, 1, 4, 1, 3, 8, 2, 9, 3, 4, 6, 4, 3, 8, 3, 1, 6, 8, 9, 0, 8, 3, 9, 9, 1, 7, 7, 4, 2, 2, 0 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The "metallic" constants A001622, A014176 etc. are defined inserting a = 1, 2, 3, 4, ... into (a+sqrt(a^2+4))/2. [Stakhov & Aranson] - R. J. Mathar, Feb 14 2011 This is the length/width ratio of a 5-extension rectangle; see A188640 where the metallic constants are defined for rational numbers. - Clark Kimberling, Apr 09 2011 LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 A. Stakhov, Samuil Aranson, Hyperbolic Fibonacci and Lucas functions, Golden Fibonacci Goniometry, Bodnar's Geometry, ..., Appl. Math. 2 (1) (2011) 74-84. Wikipedia, Metallic mean FORMULA 5 plus the constant in A085551. - R. J. Mathar, Sep 02 2008 EXAMPLE 5.19258240356725201562535524577016477814756... MATHEMATICA r=5; t=(r+(4+r^2)^(1/2))/2; FullSimplify[t] N[t, 130] RealDigits[N[t, 130]][[1]] ContinuedFraction[t, 120] (* Clark Kimberling, Apr 09 2011 *) PROG (PARI) (5 + sqrt(29))/2 \\ Charles R Greathouse IV, Jul 24 2013 (MAGMA) SetDefaultRealField(RealField(100)); (5 + Sqrt(29))/2; // G. C. Greubel, Jun 30 2019 (Sage) numerical_approx((5+sqrt(29))/2, digits=100) # G. C. Greubel, Jun 30 2019 CROSSREFS Cf. A001622, A014176, A098316, A098317, A010716 (continued fraction). Sequence in context: A147326 A143114 A103133 * A293198 A193029 A094650 Adjacent sequences:  A098315 A098316 A098317 * A098319 A098320 A098321 KEYWORD nonn,cons,easy AUTHOR Eric W. Weisstein, Sep 02 2004 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 17 18:14 EST 2020. Contains 332005 sequences. (Running on oeis4.)