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A069205
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a(n)=sum(k=1,n,2^bigomega(k)).
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0
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1, 3, 5, 9, 11, 15, 17, 25, 29, 33, 35, 43, 45, 49, 53, 69, 71, 79, 81, 89, 93, 97, 99, 115, 119, 123, 131, 139, 141, 149, 151, 183, 187, 191, 195, 211, 213, 217, 221, 237, 239, 247, 249, 257, 265, 269, 271, 303, 307, 315, 319, 327, 329, 345, 349, 365, 369, 373
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| G. Tenenbaum and Jie Wu, Cours Specialises No. 2: "Theorie analytique et probabiliste des nombres", Collection SMF, Ordres moyens, p. 20.
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FORMULA
| Asymptotic formula : a(n)=1/8/ln(2)*C*n*ln(n)^2+O(nln(n)) with C=prod((1+1/p/(p-2)) where the product is over all the primes p>2.
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MATHEMATICA
| Accumulate[2^PrimeOmega[Range[60]]] (* From Harvey P. Dale, Aug 22 2011 *)
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CROSSREFS
| Sequence in context: A120696 A071156 A076610 * A064988 A166699 A191110
Adjacent sequences: A069202 A069203 A069204 * A069206 A069207 A069208
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KEYWORD
| easy,nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 14 2002
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