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A062271
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Denominators in partial products of the twin prime constant.
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6
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4, 64, 256, 1024, 16384, 4194304, 452984832, 603979776, 1073741824, 64424509440, 16698832846848, 8906044184985600, 2244323134616371200, 4588393964104581120, 24471434475224432640, 32628579300299243520
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OFFSET
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2,1
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REFERENCES
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Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 84-94.
G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, ch. 22.20
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LINKS
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Table of n, a(n) for n=2..17.
Steven R. Finch, Hardy-Littlewood Constants [Broken link]
Steven R. Finch, Hardy-Littlewood Constants [From the Wayback machine]
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FORMULA
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a(n)= a(n-1)*(p(n)-1)^2 / gcd( A062270(n), a(n-1)*(p(n)-1)^2 ) for n > 2.
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EXAMPLE
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a(4)= 256= 2*2*4*4*6*6 / gcd( 3*1*5*3*7*5, 2*2*4*4*6*6 ).
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CROSSREFS
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A062270 (numerators), A005597 (decimal expansion).
Sequence in context: A016934 A260182 A056229 * A110258 A056982 A030994
Adjacent sequences: A062268 A062269 A062270 * A062272 A062273 A062274
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KEYWORD
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easy,nonn,frac
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AUTHOR
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Frank Ellermann, Jun 16 2001
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STATUS
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approved
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