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Search: id:A127454
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| A127454 |
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Decimal expansion of transcendental solution to round pegs in square holes problem. |
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+0
1
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| 8, 1, 3, 7, 9, 4, 1, 0, 4, 6, 0, 9, 1, 3, 7, 2, 3, 7, 6, 5, 2, 9, 8, 3, 8, 9, 8, 4, 0, 5, 3, 2, 2, 3, 3, 7, 0, 0, 9, 6, 7, 2, 5, 3, 0, 9, 7, 6, 2, 4, 4, 3, 7, 6, 9, 5, 8, 3, 5, 3, 0, 9, 9, 2, 2, 4, 6, 3, 0, 9, 4, 1, 2, 0, 5, 6, 6, 0, 1, 6, 0, 7, 7, 8, 7, 7, 6, 4, 2, 8, 6, 6, 5, 9, 8, 8, 9, 8, 1, 8, 8, 1, 3, 6, 5
(list; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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This value "must be determined numerically. As a result, a round peg fits better into a square hole than a square peg fits into a round hole only for integer dimensions n < 9."
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REFERENCES
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Singmaster, D. "On Round Pegs in Square Holes and Square Pegs in Round Holes." Math. Mag. 37, 335-339, 1964.
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LINKS
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Eric Weisstein's World of Mathematics, Peg.
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FORMULA
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Where the real number ratio crosses 1 in (pi^n)(n^(n/2))/(2^2n)(Gamma(1+n/2))^2. n such that (pi^n)(n^(n/2)) = (2^2n)(Gamma(1+n/2))^2.
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EXAMPLE
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8.1379410460913723765...
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CROSSREFS
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Sequence in context: A019607 A011391 A092515 this_sequence A093602 A011469 A140457
Adjacent sequences: A127451 A127452 A127453 this_sequence A127455 A127456 A127457
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KEYWORD
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cons,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 13 2007
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EXTENSIONS
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More terms from Eric Weisstein (eric(AT)weisstein.com), Jan 15, 2007
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