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Search: id:A108274
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| A108274 |
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Sum of the first 10^n terms in A097974. a(n) = sum_{m=1..10^n} t(m), where t(m) is the sum of the prime divisors of m that are less than or equal to sqrt(m). |
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+0
1
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| 0, 11, 316, 7387, 176966, 4432573, 114080666, 3031070859
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Does a(n+1)/a(n) converge?
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EXAMPLE
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The first 10^2 terms in A097974 sum to 316, so a(2) = 316.
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MATHEMATICA
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s = 0; k = 1; Do[s += Plus @@ Select[Select[Divisors[n], PrimeQ], #<=Sqrt[n] &]; If[n == k, Print[s]; s = 0; k *= 10], {n, 1, 10^7}]
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CROSSREFS
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Cf. A097974.
Adjacent sequences: A108271 A108272 A108273 this_sequence A108275 A108276 A108277
Sequence in context: A090272 A090271 A106827 this_sequence A115609 A084944 A107441
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KEYWORD
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more,nonn
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AUTHOR
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Ryan Propper (rpropper(AT)stanford.edu), Jul 24 2005
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