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A335073
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a(n) = Sum_{k=1..n} 2^(bigomega(k) - omega(k)).
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2
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1, 2, 3, 5, 6, 7, 8, 12, 14, 15, 16, 18, 19, 20, 21, 29, 30, 32, 33, 35, 36, 37, 38, 42, 44, 45, 49, 51, 52, 53, 54, 70, 71, 72, 73, 77, 78, 79, 80, 84, 85, 86, 87, 89, 91, 92, 93, 101, 103, 105, 106, 108, 109, 113, 114, 118, 119, 120, 121, 123, 124, 125, 127
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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MAPLE
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a:= proc(n) option remember; uses numtheory; `if`(n<1, 0,
2^(bigomega(n)-nops(factorset(n)))+a(n-1))
end:
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MATHEMATICA
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Accumulate[Table[2^(PrimeOmega[n]-PrimeNu[n]), {n, 70}]] (* Harvey P. Dale, Aug 14 2020 *)
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PROG
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(PARI) a(n) = sum(k=1, n, 2^(bigomega(k) - omega(k)));
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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