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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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2
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0, 0, 4, 102, 329890, 36846276, 1230752346352, 336967037143578, 48869596859895986086, 10513391193507374500051862068, 8556543864909388988268015483870, 10053873697024357228864849950022572972972
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OFFSET
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1,3
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COMMENTS
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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! = (p-1)!/p - (p-1)/p.
If b(1)=1, and b(m) = ((m-1)^2 / m) *(b(m-1)+(m-3)/(m-1)) for m>1, then a(n) are the terms of b(m) for m prime. [Pedro Caceres, Dec 30 2018]
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LINKS
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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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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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