

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



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, 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, 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
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OFFSET

1,2


COMMENTS

The red field of the Nepalese flag consists of two overlapping triangles:
A...D
\ .
 \ .
 \.
 EF
 \.
BC
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
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
Denominator is 4506606337686 = 2 * 3 * 2791 * 13591 * 19801.  Charles R Greathouse IV, Jun 16 2020


REFERENCES

Constitution of Nepal, Article 5, Schedule 1.


LINKS

Daniel Arribas, Table of n, a(n) for n = 1..250
Brady Haran and James Grime, The Most Mathematical Flag, Numberphile video, 2012
0xc.de (pseudonymous owner "Achim"), Nationalflagge von Nepal (with derivation of ratio)
Wikipedia, Flag of Nepal


FORMULA

(6136891429688306253616715*sqrt(2)(934861968+20332617192*sqrt(2)) * sqrt(11848*sqrt(2)))/4506606337686.


EXAMPLE

1.219010337829452184570024869930988566...


CROSSREFS

Sequence in context: A013327 A009349 A334254 * A011186 A078088 A206243
Adjacent sequences: A230579 A230580 A230581 * A230583 A230584 A230585


KEYWORD

nonn,cons


AUTHOR

Jeremy Tan, Oct 23 2013


STATUS

approved



