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Search: id:A123389
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| A123389 |
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Ratio of each term of the primorial function to the corresponding term of the factorial function (rounded to nearest integer). |
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+0
3
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| 2, 3, 5, 9, 19, 42, 101, 241, 615, 1783, 5024, 15492, 48860, 150069, 470216, 1557591, 5405759
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Shows how the primorial function grows in comparison to the factorial function.
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LINKS
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Eric Weisstein's World of Mathematics, Prime Products
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FORMULA
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a(n) = round(Product(Prime(k),k=1,n)/Factorial(n))
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EXAMPLE
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a(5)= round((2*3*5*7*11)/(1*2*3*4*5)) = round(2310/120) = round(19.25) = 19
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CROSSREFS
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Cf. A002110.
Adjacent sequences: A123386 A123387 A123388 this_sequence A123390 A123391 A123392
Sequence in context: A058770 A049910 A077643 this_sequence A113984 A110542 A101542
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KEYWORD
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easy,nonn
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AUTHOR
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Mitch Cervinka (puritan(AT)toast.net), Oct 13 2006
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