This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A190264 Decimal expansion of (sqrt(89) - 6)/2. 1
 1, 7, 1, 6, 9, 9, 0, 5, 6, 6, 0, 2, 8, 3, 0, 1, 9, 0, 5, 6, 6, 0, 3, 3, 0, 1, 8, 8, 8, 1, 1, 3, 2, 0, 3, 5, 8, 4, 9, 1, 8, 1, 1, 3, 1, 6, 7, 0, 7, 5, 6, 0, 6, 6, 0, 3, 3, 1, 4, 9, 0, 7, 2, 4, 4, 9, 0, 0, 1, 1, 4, 5, 4, 7, 9, 2, 5, 5, 9, 0, 2, 9, 2, 7, 0, 5, 1, 3, 4, 9, 3, 4, 4, 5, 1, 9, 2, 0, 5, 2, 2, 6, 7, 5, 0, 6, 4, 8, 7, 1, 4, 0, 8, 7, 4, 9, 3, 7, 4, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The rectangle R whose shape (i.e., length/width) is (-6 + sqrt(89))/2 can be partitioned into rectangles of shapes 3/2 and 3 in a manner that matches the periodic continued fraction [3/2, 3, 3/2, 3, ...].  R can also be partitioned into squares so as to match the periodic continued fraction [1, 1, 2, 1, 1, 6, 1, 36, 1, 6, 1, 1, 2, 1, 8, 1, 2, 1, 1, 6, 1, 36, ...].  For details, see A188635. Quadratic number with denominator 2 and minimal polynomial 4x^2 + 24x - 53. - Charles R Greathouse IV, Apr 21 2016 LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 EXAMPLE 1.716990566028301905660330188811320358491... MATHEMATICA FromContinuedFraction[{3/2, 3, {3/2, 3}}] ContinuedFraction[%, 100]  (* [1, 1, 2, 1, 1, 6, 1, 36, ... *) RealDigits[N[%%, 120]]     (* A190264 *) N[%%%, 40] PROG (PARI) sqrt(89)/2-3 \\ Charles R Greathouse IV, Apr 21 2016 CROSSREFS Cf. A188635, A190290, A178255. Sequence in context: A145423 A019796 A309600 * A322663 A231927 A199076 Adjacent sequences:  A190261 A190262 A190263 * A190265 A190266 A190267 KEYWORD nonn,cons AUTHOR Clark Kimberling, May 07 2011 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 December 12 15:11 EST 2019. Contains 329960 sequences. (Running on oeis4.)