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A230582 Decimal expansion of the ratio of height to width of the bounding rectangle of the national flag of Nepal, as defined in Schedule 1 of Article 5 of its Constitution. 1

%I

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

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

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

%N Decimal expansion of the ratio of height to width of the bounding rectangle of the national flag of Nepal, as defined in Schedule 1 of Article 5 of its Constitution.

%C The red field of the Nepalese flag consists of two overlapping triangles:

%C A...D

%C |\ .

%C | \ .

%C | \.

%C | E-F

%C | \.

%C B---C

%C where C and F lie on a vertical line. There is a blue border around this field which makes point F extend slightly further than point C when the entire flag is considered, since angle AFE is smaller than angle ECB. - _Jeremy Tan_, Apr 06 2015

%C This constant is algebraic, specifically quartic. In particular it is the least root of 243356742235044x^4 - 1325568548812608x^3 + 2700899847521244x^2 - 2439951444086880x + 824634725389225. - _Charles R Greathouse IV_, Oct 24 2013

%C Denominator is 4506606337686 = 2 * 3 * 2791 * 13591 * 19801. - _Charles R Greathouse IV_, Jun 16 2020

%D Constitution of Nepal, Article 5, Schedule 1.

%H Daniel Arribas, <a href="/A230582/b230582.txt">Table of n, a(n) for n = 1..250</a>

%H Brady Haran and James Grime, <a href="https://youtu.be/f2Gne3UHKHs">The Most Mathematical Flag</a>, Numberphile video, 2012

%H 0xc.de (pseudonymous owner "Achim"), <a href="http://0xc.de/flags/nepal/">Nationalflagge von Nepal</a> (with derivation of ratio)

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Flag_of_Nepal">Flag of Nepal</a>

%F (6136891429688-306253616715*sqrt(2)-(934861968+20332617192*sqrt(2)) * sqrt(118-48*sqrt(2)))/4506606337686.

%e 1.219010337829452184570024869930988566...

%K nonn,cons

%O 1,2

%A _Jeremy Tan_, Oct 23 2013

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Last modified November 24 07:53 EST 2020. Contains 338607 sequences. (Running on oeis4.)