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A166625
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Totally multiplicative sequence with a(p) = 4p for prime p.
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1
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1, 8, 12, 64, 20, 96, 28, 512, 144, 160, 44, 768, 52, 224, 240, 4096, 68, 1152, 76, 1280, 336, 352, 92, 6144, 400, 416, 1728, 1792, 116, 1920, 124, 32768, 528, 544, 560, 9216, 148, 608, 624, 10240, 164, 2688, 172, 2816, 2880, 736, 188, 49152, 784, 3200
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OFFSET
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1,2
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 1..10000
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FORMULA
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Multiplicative with a(p^e) = (4p)^e.
If n = Product p(k)^e(k) then a(n) = Product (4*p(k))^e(k).
a(n) = n * A165825(n) = n * 4^bigomega(n) = n * 4^A001222(n).
Dirichlet g.f.: Product_{p prime} 1 / (1 - 4 * p^(1 - s)). - Ilya Gutkovskiy, Oct 30 2019
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MATHEMATICA
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Table[n 4^PrimeOmega[n], {n, 50}] (* Harvey P. Dale, Jan 20 2014 *)
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PROG
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(PARI) a(n) = n*4^bigomega(n); \\ Altug Alkan, May 19 2016
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CROSSREFS
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Cf. A001222, A165825.
Sequence in context: A298901 A305236 A069186 * A038290 A002288 A216711
Adjacent sequences: A166622 A166623 A166624 * A166626 A166627 A166628
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KEYWORD
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nonn,mult
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AUTHOR
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Jaroslav Krizek, Oct 18 2009
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STATUS
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approved
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