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.

A086414 Minimal exponent in prime factorization of 3-smooth numbers.

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%I A086414 #8 Jan 29 2020 04:38:48
%S A086414 0,1,1,2,1,3,2,1,4,1,1,3,5,2,1,1,6,2,4,1,2,7,2,1,1,3,5,8,2,2,1,3,1,9,
%T A086414 2,3,6,1,3,2,10,2,4,1,1,3,3,11,7,2,4,2,1,3,4,12,1,2,4,3,1,8,3,5,13,2,
%U A086414 2,4,4,1,1,3,5,14,3,2,9,4,5,1,2,3,5,15,4,2,1,4,6,1,3,3,10,5,16,5,2,2
%N A086414 Minimal exponent in prime factorization of 3-smooth numbers.
%H A086414 Amiram Eldar, <a href="/A086414/b086414.txt">Table of n, a(n) for n = 1..10000</a>
%F A086414 a(n) = A051904(A003586(n));
%F A086414 a(n) <= A086415(n) <= A069352(n).
%t A086414 s = {}; m = 12; Do[n = 3^k; While[n <= 3^m, AppendTo[s, n]; n*=2], {k, 0, m}]; maxExp[1] = 0; maxExp[n_] := Min @@ Last /@ FactorInteger[n]; maxExp /@ Union[s] (* _Amiram Eldar_, Jan 29 2020 *)
%Y A086414 Cf. A003586, A051904, A069352, A086415.
%K A086414 nonn
%O A086414 1,4
%A A086414 _Reinhard Zumkeller_, Jul 18 2003