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A230582
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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.
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1
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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
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1,2
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COMMENTS
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The red field of the Nepalese flag consists of two overlapping triangles:
A...D
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B---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
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
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REFERENCES
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Constitution of Nepal, Article 5, Schedule 1.
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LINKS
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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
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FORMULA
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(6136891429688-306253616715*sqrt(2)-(934861968+20332617192*sqrt(2)) * sqrt(118-48*sqrt(2)))/4506606337686.
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EXAMPLE
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1.219010337829452184570024869930988566...
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CROSSREFS
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Sequence in context: A013327 A009349 A334254 * A011186 A078088 A206243
Adjacent sequences: A230579 A230580 A230581 * A230583 A230584 A230585
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KEYWORD
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nonn,cons
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AUTHOR
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Jeremy Tan, Oct 23 2013
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STATUS
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approved
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