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.

A078378 Total number of prime factors of numbers which can be written as sum of a positive square and a positive cube.

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%I A078378 #9 Mar 27 2025 04:26:16
%S A078378 1,1,2,2,3,1,4,2,3,1,2,4,1,1,3,3,3,2,3,2,3,5,1,3,5,2,1,2,4,1,5,1,2,4,
%T A078378 1,7,2,2,2,2,3,4,4,2,3,3,3,3,2,2,4,4,1,4,2,5,2,4,1,4,2,4,1,1,3,5,1,4,
%U A078378 5,2,1,5,1,2,3,4,4,3,7,2,3,3,1,4,1,4,4,6,1,1,6,2,5,3,1,2,3,3,5,1,2,5,3,4,4
%N A078378 Total number of prime factors of numbers which can be written as sum of a positive square and a positive cube.
%H A078378 Amiram Eldar, <a href="/A078378/b078378.txt">Table of n, a(n) for n = 1..10000</a>
%F A078378 a(n) = A001222(A055394(n)).
%t A078378 PrimeOmega[Select[Range[200], Length[Reduce[a^2 + b^3 == # && a > 0 && b > 0, {a, b}, Integers]] > 0 &]] (* _Amiram Eldar_, Mar 27 2025 *)
%Y A078378 Cf. A001222, A055394, A078377, A078379.
%K A078378 nonn
%O A078378 1,3
%A A078378 _Reinhard Zumkeller_, Nov 25 2002