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Search: id:A091505
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| A091505 |
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Decimal expansion of (2 + sqrt(2) + 5*arcsinh(1))/15. |
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+0
2
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| 5, 2, 1, 4, 0, 5, 4, 3, 3, 1, 6, 4, 7, 2, 0, 6, 7, 8, 3, 3, 0, 9, 8, 2, 3, 5, 6, 6, 0, 7, 2, 4, 3, 9, 7, 4, 9, 1, 4, 0, 3, 1, 5, 6, 7, 7, 7, 9, 0, 0, 8, 3, 4, 1, 7, 9, 6, 2, 1, 0, 5, 1, 8, 7, 5, 0, 5, 0, 7, 8, 9, 3, 3, 0, 4, 8, 1, 5, 8, 3, 1, 8, 6, 7, 9, 2, 8, 1, 3, 2, 9, 2, 5, 2, 6, 1, 4, 5, 2, 4, 6, 7
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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Or equally, decimal expansion of (2 + sqrt(2) + 5*log(1+sqrt(2)))/15.
Average distance between two points chosen at random in a unit square.
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 8.1.
L. A. Santalo, Integral Geometry and Geometric Probability, Addison-Wesley, 1976, see p. 49.
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LINKS
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Eric Weisstein's World of Mathematics, Square Line Picking
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EXAMPLE
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0.5214054331647206783309823566...
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CROSSREFS
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Cf. A091506.
Sequence in context: A038631 A133615 A136161 this_sequence A030357 A106266 A106267
Adjacent sequences: A091502 A091503 A091504 this_sequence A091506 A091507 A091508
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KEYWORD
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nonn,cons
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Jan 16, 2004
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