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.

A112754 Total number of prime factors of n-th number of the form 3^i*5^j.

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%I A112754 #7 Feb 06 2020 07:13:47
%S A112754 0,1,1,2,2,2,3,3,3,4,3,4,4,5,4,5,4,5,6,5,6,5,6,7,5,6,7,6,7,8,6,7,8,6,
%T A112754 7,8,9,7,8,9,7,8,9,10,7,8,9,10,8,9,10,11,8,9,10,11,8,9,10,11,12,9,10,
%U A112754 11,12,9,10,11,12,13,9,10,11,12,13,10,11,12,13,14,10,11,12,13,14,10,11,12
%N A112754 Total number of prime factors of n-th number of the form 3^i*5^j.
%H A112754 Amiram Eldar, <a href="/A112754/b112754.txt">Table of n, a(n) for n = 1..10000</a>
%F A112754 a(n) = A001222(A003593(n)) = A022336(n) + A022337(n).
%t A112754 s = {}; m = 12; Do[n = 5^k; While[n <= 5^m, AppendTo[s, n]; n *= 3], {k, 0, m}]; PrimeOmega[Union[s]] (* _Amiram Eldar_, Feb 06 2020 *)
%Y A112754 Cf. A001222, A003593, A022336, A022337, A069352, A112753, A112759.
%K A112754 nonn
%O A112754 1,4
%A A112754 _Reinhard Zumkeller_, Sep 18 2005