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A166662
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Totally multiplicative sequence with a(p) = 4p+1 for prime p.
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2
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1, 9, 13, 81, 21, 117, 29, 729, 169, 189, 45, 1053, 53, 261, 273, 6561, 69, 1521, 77, 1701, 377, 405, 93, 9477, 441, 477, 2197, 2349, 117, 2457, 125, 59049, 585, 621, 609, 13689, 149, 693, 689, 15309, 165, 3393, 173, 3645, 3549, 837, 189, 85293, 841, 3969
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OFFSET
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1,2
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LINKS
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FORMULA
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Multiplicative with a(p^e) = (4p+1)^e. If n = Product p(k)^e(k) then a(n) = Product (4*p(k)+1)^e(k).
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MATHEMATICA
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a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((4*fi[[All, 1]] + 1)^fi[[All, 2]])); Table[a[n], {n, 1, 100}] (* G. C. Greubel, May 22 2016 *)
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CROSSREFS
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KEYWORD
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nonn,mult
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AUTHOR
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STATUS
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approved
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