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A343069
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Decimal expansion of 2*(1+5*sqrt(2))/7.
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4
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2, 3, 0, 6, 0, 1, 9, 3, 7, 4, 8, 1, 8, 7, 0, 7, 2, 1, 2, 5, 7, 3, 8, 4, 1, 0, 3, 4, 5, 8, 5, 2, 8, 2, 9, 6, 9, 3, 8, 5, 2, 4, 5, 5, 3, 6, 2, 5, 2, 7, 8, 2, 9, 6, 1, 6, 8, 0, 9, 7, 1, 0, 5, 4, 2, 7, 2, 4, 7, 4, 9, 6, 9, 2, 3, 1, 5, 8, 1, 4, 8, 4, 0, 7, 1, 9, 8, 2, 1, 9, 1, 8, 9
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OFFSET
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1,1
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COMMENTS
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Dissect the unit square into 7 regions with equal areas from a given midpoint on the squares edge. This sequence gives the decimal expansion of the perimeter of the triangular region with unit height.
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LINKS
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FORMULA
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Decimal expansion of 2*(1 + k*sqrt(1/k^2 + 1))/k, where k = 7.
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EXAMPLE
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2.3060193748187072125738410...
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MATHEMATICA
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RealDigits[2 (1 + 5 Sqrt[2])/7, 10, 200][[1]] // Flatten
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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