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Search: id:A091330
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| A091330 |
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a(n) = ((p-1)!/p) - ((p-1)*(p-1)!/p!), where p is the n-th prime. |
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+0
1
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| 0, 0, 4, 102, 329890, 36846276, 1230752346352, 336967037143578, 48869596859895986086, 10513391193507374500051862068, 8556543864909388988268015483870, 10053873697024357228864849950022572972972
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Related to Wilson's Theorem. Let p be a prime number and write 1/p - (p-1)/p! = x/(p-1)!. Then x = (p-1)!/p - (p-1)*(p-1)!/p!.
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EXAMPLE
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Prime(4)=7 so a(4) = 6!/7 - 6*6!/7! = 102
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MATHEMATICA
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A091330[n_] := Block[{p = Prime[n]}, ((p - 1)!/p) - ((p - 1)*(p - 1)!/p!)] (from Robert G. Wilson v 02 2004)
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CROSSREFS
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Cf. A007619.
Sequence in context: A059105 A129435 A129702 this_sequence A024056 A102439 A006415
Adjacent sequences: A091327 A091328 A091329 this_sequence A091331 A091332 A091333
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KEYWORD
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easy,nonn
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AUTHOR
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Russell A. Easterly (logiclab(AT)comcast.net), Mar 01 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com) and Ray Chandler (rayjchandler(AT)sbcglobal.net), Mar 02 2004
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