This site is supported by donations to The OEIS Foundation.

The OEIS is looking to hire part-time people to help edit core sequences, upload scanned documents, process citations, fix broken links, etc. - Neil Sloane, njasloane@gmail.com

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A188593 Decimal expansion of (diagonal)/(shortest side) of a golden rectangle. 4
 1, 9, 0, 2, 1, 1, 3, 0, 3, 2, 5, 9, 0, 3, 0, 7, 1, 4, 4, 2, 3, 2, 8, 7, 8, 6, 6, 6, 7, 5, 8, 7, 6, 4, 2, 8, 6, 8, 1, 1, 3, 9, 7, 2, 6, 8, 2, 5, 1, 5, 0, 0, 4, 4, 4, 8, 9, 4, 6, 1, 1, 2, 8, 8, 8, 6, 0, 3, 0, 6, 3, 4, 0, 1, 7, 0, 3, 8, 7, 0, 0, 3, 4, 3, 7, 5, 8, 5, 6, 2, 1, 9, 4, 1, 6, 2, 2, 7, 6, 3, 3, 5, 1, 7, 9, 9, 4, 3, 5, 1, 0, 2, 8, 0, 6, 0, 0, 8, 4, 1, 7, 9, 7, 4, 1, 3, 2, 3, 8, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS A rectangle of length L and width W is a golden rectangle if L/W = r = (1+sqrt(5))/2. The diagonal has length D = sqrt(L^2+W^2), so D/W = sqrt(r^2+1) = sqrt(r+2). Largest root of x^4 - 5x^2 + 5. - Charles R Greathouse IV, May 07 2011 This is the case n=10 of (Gamma(1/n)/Gamma(2/n))*(Gamma((n-1)/n)/Gamma((n-2)/n)) = 2*cos(Pi/n). - Bruno Berselli, Dec 13 2012 Edge length of a pentagram (regular star pentagon) with unit circumradius. - Stanislav Sykora, May 07 2014 LINKS Chai Wah Wu, Table of n, a(n) for n = 1..10001 Eric Weisstein's World of Mathematics, Golden Rectangle Eric Weisstein's World of Mathematics, Pentagram EXAMPLE 1.902113032590307144232878666758764286811397268251... MATHEMATICA r = (1 + 5^(1/2))/2; RealDigits[(2 + r)^(1/2), 10, 130]][[1]] PROG (PARI) sqrt((5+sqrt(5))/2) CROSSREFS Cf. A001622 (decimal expansion of the golden ratio). Cf. A188594 (D/W for the silver rectangle, r=1+sqrt(2)). Sequence in context: A221429 A221507 A089481 * A065421 A198556 A261169 Adjacent sequences:  A188590 A188591 A188592 * A188594 A188595 A188596 KEYWORD nonn,cons,easy AUTHOR Clark Kimberling, Apr 04 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.