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A166674 Totally multiplicative sequence with a(p) = 5p+2 for prime p. 1

%I #8 May 22 2016 12:57:30

%S 1,12,17,144,27,204,37,1728,289,324,57,2448,67,444,459,20736,87,3468,

%T 97,3888,629,684,117,29376,729,804,4913,5328,147,5508,157,248832,969,

%U 1044,999,41616,187,1164,1139,46656,207,7548,217,8208,7803,1404,237,352512

%N Totally multiplicative sequence with a(p) = 5p+2 for prime p.

%H G. C. Greubel, <a href="/A166674/b166674.txt">Table of n, a(n) for n = 1..10000</a>

%F Multiplicative with a(p^e) = (5p+2)^e. If n = Product p(k)^e(k) then a(n) = Product (5*p(k)+2)^e(k).

%t a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((5*fi[[All, 1]] + 2)^fi[[All, 2]])); Table[a[n], {n, 1, 100}](* _G. C. Greubel_, May 22 2016 *)

%K nonn,mult

%O 1,2

%A _Jaroslav Krizek_, Oct 18 2009

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Last modified July 5 07:09 EDT 2024. Contains 374018 sequences. (Running on oeis4.)