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

%I #8 May 22 2016 12:56:25

%S 1,11,16,121,26,176,36,1331,256,286,56,1936,66,396,416,14641,86,2816,

%T 96,3146,576,616,116,21296,676,726,4096,4356,146,4576,156,161051,896,

%U 946,936,30976,186,1056,1056,34606,206,6336,216,6776,6656,1276,236,234256

%N Totally multiplicative sequence with a(p) = 5p+1 for prime p.

%H G. C. Greubel, <a href="/A166663/b166663.txt">Table of n, a(n) for n = 1..10000</a>

%F Multiplicative with a(p^e) = (5p+1)^e. If n = Product p(k)^e(k) then a(n) = Product (5*p(k)+1)^e(k).

%t a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((5*fi[[All, 1]] + 1)^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