cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A086418 Sum of distinct prime factors of 3-smooth numbers.

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%I A086418 #7 Jan 29 2020 04:38:53
%S A086418 0,2,3,2,5,2,3,5,2,5,5,3,2,5,5,5,2,5,3,5,5,2,5,5,5,5,3,2,5,5,5,5,5,2,
%T A086418 5,5,3,5,5,5,2,5,5,5,5,5,5,2,3,5,5,5,5,5,5,2,5,5,5,5,5,3,5,5,2,5,5,5,
%U A086418 5,5,5,5,5,2,5,5,3,5,5,5,5,5,5,2,5,5,5,5,5,5,5,5,3,5,2,5,5,5,5,5,5,5
%N A086418 Sum of distinct prime factors of 3-smooth numbers.
%H A086418 Amiram Eldar, <a href="/A086418/b086418.txt">Table of n, a(n) for n = 1..10000</a>
%F A086418 a(n) = A008472(A003586(n));
%F A086418 a(n) = 2*0^(0^A022328(n)) + 3*0^(0^A022329(n)).
%t A086418 s = {}; m = 12; Do[n = 3^k; While[n <= 3^m, AppendTo[s, n]; n*=2], {k, 0, m}]; sopf[1] = 0; sopf[n_] := Plus @@ First@Transpose @ FactorInteger[n]; sopf /@ Union[s] (* _Amiram Eldar_, Jan 29 2020 *)
%Y A086418 Cf. A003586, A008472, A022328, A022329, A086419, A086417, A086412.
%K A086418 nonn
%O A086418 1,2
%A A086418 _Reinhard Zumkeller_, Jul 18 2003