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A104954
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Decimal expansion of the area of the regular triangle with circumradius 1.
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7
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1, 2, 9, 9, 0, 3, 8, 1, 0, 5, 6, 7, 6, 6, 5, 7, 9, 7, 0, 1, 4, 5, 5, 8, 4, 7, 5, 6, 1, 2, 9, 4, 0, 4, 2, 7, 5, 2, 0, 7, 1, 0, 3, 9, 4, 0, 3, 5, 7, 7, 8, 5, 4, 7, 1, 0, 4, 1, 8, 5, 5, 2, 3, 4, 5, 8, 8, 9, 4, 9, 7, 6, 2, 6, 8, 1, 6, 0, 0, 0, 2, 7, 8, 1, 0, 8, 5, 9, 6, 4, 0, 0, 6, 7, 9, 3, 6, 4, 3, 1, 7, 5, 6, 7, 1
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OFFSET
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1,2
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COMMENTS
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Equivalently, the area in the complex plane of the smallest convex set containing all order-3 roots of unity.
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LINKS
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Table of n, a(n) for n=1..105.
Eric Weisstein et al., Root of Unity.
Eric Weisstein's World of Mathematics, de Moivre Number.
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FORMULA
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Equals 3*sqrt(3)/4.
Equals (1/2)*A104956.
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EXAMPLE
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1.299038105676657970145584756129404275207103940357785471...
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MATHEMATICA
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RealDigits[N[Floor[n/2]*Sin[(2*Pi)/n] - Sin[(4*Pi*Floor[n/2])/n]/2 /. n -> 3, 108]][[1]]
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CROSSREFS
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Cf. A104955, A104956, A104957.
Sequence in context: A198358 A145427 A348637 * A244292 A011072 A175295
Adjacent sequences: A104951 A104952 A104953 * A104955 A104956 A104957
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KEYWORD
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nonn,cons
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AUTHOR
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Joseph Biberstine (jrbibers(AT)indiana.edu), Mar 30 2005
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EXTENSIONS
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Edited by Georg Fischer, Jul 29 2021
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STATUS
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approved
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