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Search: id:A089997
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| A089997 |
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a(n) = Floor[Exp[(Composite[n]-Sqrt[Composite[n]*CompositePi[n]])/(-CompositePi[n]+ Sqrt[Composite[n]*CompositePi[n]])]] |
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+0
1
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| 7, 11, 16, 8, 9, 7, 8, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Complementary function to the log type function of the primes and their distributions as the function of the composites and their distribution.
The result even as an exponential function seems to tend to an asymototic limit.
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MATHEMATICA
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(* manufacture the composite numbers as a function*) p[n_]=n!/Product[Prime[i], {i, 2, PrimePi[n]}] digits=200 a0=Table[p[n]/p[n-1], {n, 2, digits}] c=Delete[Delete[Union[a0], 1], 1] d=Dimensions[c][[1]] Composite[n_]=c[[n]] (* make the log equivalent function*) g[n_]=(Composite[n]-Sqrt[Composite[n]*CompositePi[n]])/(-CompositePi[n]+ Sqrt[Composite[n]*CompositePi[n]]) e=Table[Floor[Exp[g[n]]], {n, 1, d-1}]
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CROSSREFS
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Sequence in context: A097494 A037136 A023486 this_sequence A129188 A022950 A131626
Adjacent sequences: A089994 A089995 A089996 this_sequence A089998 A089999 A090000
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 14 2004
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